Contender, Cultural Victory, 1678AD, 118k.
After the start of the game and getting both stonehenge and the pyramids, I aimed for the fastest Cultural Victory. Though in the endgame I fiddled a bit too much in unneccessary warfare, so perhaps this delayed the victory just by a bit. I hope it'll be enough for the award

Note to self: don't fiddle too much!
Begin game:
Exploring
Scouting south discovered Hatsy. Upon discovery, saw a worker, war! Scouting east discovered Monty. Waited near a cow tile for him to work, war! Two free workers this far. I never build my first worker, always better to steal.
Warfare
Note that is is quite simple to keep the AI at bay if you put an upgraded warrior in the AI's territory. For toku STR+10% is always free. After that I choose Archery cover, health, woodsman 1 & 2. Parking the warrior in a forrest, a forrested hill and/or across a river makes him nearly invincible. The dumb AI just keeps killing his archers. And at a certain point my warrior even a barb axe.
At some point I thought I saw a worker from Victoria, I attacked and oops it was just a scout. It took forever to pacify her. After currency I made peace again with a bit of gold. I guess that's the price for greed...
Tech
Chosen tech path (out of my head): Mining, Bronze, Agriculture, Wheel, Pottery, Mysticism (from a hut I think), Animal husbandry, Masonry, Writing, Alphabet. After that 7 techs from trade or so. Had to compromise Alphabet as well, but well worth all those techs I got.
Note that I never go for Iron working, since I think swords are pretty weak anyway. Any axe eats swords for breakfast. And the free city attack of the sword is quite useless if an axe is parked in a city. An upgraded axe with city attack is much more effective.
Anyway, I wanted a cultural victory, so I researched Literature and Theology (sixtine chapel!!!). I never research currency myself. I trust that I'll have enough cottages for commerce. Eventually lowering the research rate to 60% or so with 6 cities isn't that bad. You can always use food for beakers and you want to have a great scientist asap anyway.
Cities and Improvements
Founded Osaka (chopped settler) South of Tokyo, near the wheat, flood plains and ivory. Looked like a good location for a GP farm. Started Stonehenge (partly chopped) in Kyoto. Partly chopped another settler in Osaka and build Tokyo to the west of Kyoto near the bronze. I only start building settlers after city size 3. First, I spam warriors to keep Monty and Hatsy busy.
After stonehenge, I build the pyramids in Kyoto (200BC). It takes forever without stone. Luckily, some forrest tiles did regrow (3 or so), so I could chop a bit of it. Anyway, I build 2 more cities to the north to clear the fog in the corner and I build 2 more to the south. I left the east completely open, since Monty did a great job killing his archers against my warriors.
Early Civics
+ Organized religion and Slavery. I make the switch always in one turn to save a turn of anarchy. I don't use slavery much except to rush a theatre in a captured city. Note that if you switch your production to theatre after immediately capturing a city, you can rush your theatre with 1 pop (I think) after it gets out of rebellion. A good use for pop that would otherwise die off of unhappiness.
+ Representation after I got the pyramids. Increased happiness and free beakers for every specialist. You need loads of specialists for a cultural victory (great artists) anyway. Combined with the sixtine chapel (+2 culture) per specialist, it makes specialists just awesome.
Pre-mid game
Warfare
Monty only managed to found one city which was promptly hacked to pieces by my axe. He did manage to get iron working and build some jaguars (doesn't need iron for that). Luckily I just had an axe in the neighborhood. Bye, bye, jags. Bye, bye, Monty in 390AD. Like some others said before, the only good Monty is a dead Monty!
Hatsy managed to escape my guard and founded 4 cities or so to the south of Thebes. However, 390AD turned out to be a great year. Thebes also fell to the power of the japanese. After this, I just kept harassing hatsy. Since I didn't have the resources to support more cities. There appears the be no war weariness in the begin game, so you can wage war for thousands of years without impunity. btw, is war weariness triggered by some tech or so?
Cities and Improvements
Got 12 cities including Thebes and Tenochtitlan (6 in the begin game). Filled up the space between my empire and Thebes with 2 more cities. Got also 1 barb city. Also build my first city to the east near horses (quite late, but I don't use horses much in the begin game anyway), wine and a cow. Sweet!
Futhermore, I spammed a lot of wonders in Osaka. To my suprise, my intended GP farm appeared to be my highest production city at this point too. The iron on the hill was a really pleasant suprise and the 2 ivory tiles provided excellent production as well. Consecutively, I build National Epic, Parthenon, Great Library and Sixtine chapel here. I postponed the Globe theatre until happiness became a real problem.
In addition I parked a great engineer in Osaka to speed production up for eons to come. Something went wrong in kyoto and despite odds I got an engineer instead of my wanted scientist. Ah well. The Great Library in Osaka did help to get 2 or 3 great scientists later on.
Diplomacy
Arabia converted to christianity right after I founded it (begin game). England founded hinduism, judaism and confucianism (stayed hindu). India founded buddhism and the Inca coverted to buddhism as well. Thus, Arabia was in my pocket for the rest of the game trading me for every tech and never afraid I was becoming to advanced. The Inca and India were cautious forever and England was a *bit* annoyed. Probably because I declared war before. Hmmmm

Monty is dead and hatsy was as furious as she could get. -25 or so in the end. Never seen an AI that mad at me before (redeclared war 5 times to keep stealing workers and not hurting other AI relations. refused to accept taoism as state religion. As if... And demanding a bit of tribute right before I declared war again...
I also setup trade relations with all the nations. Also trading resources I had only a single one of (if no city had the happiness or health cap, you can always revoke). And I also trade always a single resource, if I have spare, just for gold to build up +x trade relations has been fair. Usually I trade off health resources first, since I think happy resources are more valuable, but this game I was desperately in need of health resources (happy bonus from representation). India gave me clam for my single pig. Arabia could spare me his spare pig

. And I got some sheep from the inca.
Tech & Civics
Got Philosophy first, also founded Taoism. Goal: pacifism. Traded for code of laws. Goal: caste system. In earlier games I never used these civics because I thought them pretty worthless. I was wrong! I didn't change for caste system yet because I did not need more than the two artists that a theatre provides. Next I got Civil Service. Goal: burocracy. I think I had Civil Service before I managed to even trade for currency. Being Organized and getting a bit of gold from my Temple of Nativity (20% christianity) did help a bit to get my research going (around 60% or so).
Next I got divine right first and founded the Islam. I needed all these religions to start building temples and cathedrals for super boosting culture. I already decided that Kyoto and Osaka would make excellent Legendary Cities. I just had to decide on my third one. Tenochtitlan made an excellent choice having 3 flood plains, a cow, mostly grass and no plains. And of course to teach Monty a lesson in humility that war isn't everything...

Additionally it *had* an enormous amount of forrest which could be used to chop for wonders.
Unfortunately I just missed on being the first in Music (I wanted that free artist!). Nasty Asoka just beat me to it. But I needed Music anyway for the Cathedrals.
Mid game
Tech & Civics
Beeline to Liberalism. Got Nationalism for free. Goal: Free Speech. +100% culture in every city is a no brainer for a cultural victory. Changed to Cast System at the same time to save anarchy period.
Beeline to Banking to get Mercantilism (one free specialist per city) as a civic. Representation, Caste System, Mercantilism and Pacifism is a great combination! Every free specialist has +3 beakers and +2 culture (from sixtine chapel). Caste system is needed to get a lot of great artist. Pacifism doubles GP rate. I don't know how many great people I had. A lot more than the previous gotm in which I squandered the Philosopy trait. Just before I won, I had to generate 3600 points for a great person! But Osaka was generating by then almost 200 points per turn. Also got the free great merchant from Economics.
Beeline to Biology and not to Military Tradition/gunpowder as I did in previous games. Delayed a bit on scientific methods to give me a few turns to build key monasteries for confucianism, judaism and buddhism. Never got hinduism in my territory.
Cities and Improvements
Chopped Versailles, Aquaduct and Hanging gardens and Hermitage in Tenochtitlan.
Build pretty much any other wonder in Osaka. It helped a lot that I could trade the spare marble from Tenochtitlan to the Inca for stone. Also I needed the stone to build the Christian Cathedrals. The AI got this game only the Oracle, The Great Lighthouse, The Colossus and the Spiral Minaret. I missed the Spiral Minaret (though I had Divine Right a lot earlier than the AI) because Inca backstapped me

And Arabia probably used a great engineer to build it.
Build Forbidden Palace in Thebes. Now, I have a pretty good distance coverage as well (not needing State Property later on).
Spread Christianity, Taoism and Islam a lot to build plenty of temples needed for all the cathedrals in Kyoto, Osaka and Tenochtitlan.
Warfare
Using Samurai and moving my whole army to the south I wiped out egypt. They had a single confucianism city, which I didn't have so far. When I had almost wiped out Egypt, the dreadful Huyana (Inca) saw it fit to backstab on me in the far east

. Besides losing my precious stone resource and that my army was 15 turns away from my beloved Tenochtitlan city, I risked loosing this city. Of course, I had Tenochtitlan well defended with a *single* archer. And huyana brought some 5 knights and a few maceman and a few longbowman. Ooops... I immediatly halted all research to get the gold for upgrades and did send forth archers and longbowman from neighboring cities. Happiness be damned (we demand military protection!). I chopped a wall in tenochtitlan (first time I ever used one!) and I chopped 2 War Elephants (+50% against mounted). I couldn't build knights myself yet. Any human player would have captured the city, but the dumb AI saw it fit to pilfer all the farms around Tenochtitlan... I think I also sacrificed a few workers to buy a few turns to get my defense in place. The AI always seems to go for undefended workers while he could have taken my city. This also works when attacking. If a city has more than 3 or so defenders, you can lure the rest out with workers. The defenders are easy to kill on the field. After you take the city, you usually get your workers back

. Really strange game this... When I was conquesting in gotm-2 I found more out about the culture stuff. While I'm now trying to do the culture stuff, I found out how to conquest better...
Anyway, when Huyana was finally done pilfering around I had enough defense. I ran a few catapults on his larger stacks to keep the bite out of the attack and killing some knights with my war elephants. After 15 turns or so Huyana called it quits and I got a fat peace treaty. In the mean time I wiped out Egypt and moved my large army back to the far east.
After my army was in place and I got some knights myself, I decided it's better to have stone for myself than to trade for it. Needless to say I redeclared war. Huyana still had a quite impressive army, but the AI is dumb. I parked my whole army (15 units or so) in a forrest square within reach of his army, but not within reach of his city. 4 samurai had the woodland-2 upgrade. Needless to say that huyana wiped out his army (15 units or so) in a single turn. I only lost 2 units. After some healing, it was easy to take 4 cities from him. Had to sue for peace, because of war weariness, no cats and I saw a big ass army in his capital.
End game
Tech & Civics
Got Biology and rapidly health problems spiraled out of control in Osaka and Tenochtitlan. Got Communism next to get the Kremlin. Next, I got Medicine to get Environmentalism. The +6 health bonus is sweet, but the happiness from forrests and jungles is really useless. Needless to say that my important cities didn't have any forrest in their radius. And why would you ever leave jungle around?
Researched Democracy just to build the statue of Liberty (+1 free specialist, read artist). I already had Universal suffrage from the Pyramids and I only changed to it so I could gold rush things. Otherwise, I would have been happier with Representation. Emancipation I didn't need, because I had the Caste System. Though -6 or -8 happiness in some cities, we demand emancipation... Shut up!
Beelined to Radio to get the +50% wonders and the hit *thingies* for happiness. After researching a tech that had a wonder. I paused tech research for 1 or 2 turns to get enough cash to rush build it.
After Radio, no tech research anymore. Just 100% culture.
Cities and Improvements
After Kremlin basically rusing every cathedral in the intended Legendary cities of Kyoto, Osaka and Tehochtitlan. And of course rusing wonders in the appropriate city so that the 75k culture in these cities would coincide.
This part of the game is quite boring. Spamming missionaries everywhere to build at least 9 of each temple of each religion. I had 6, except for hinduism. Furthermore, it's boring because you just have to wait till you get your 75k.
As a side node, I build scotland yard somewhere and used the spies to sabotage all the copper resources of England. Why? India was trading bananas to England for copper. And I needed those bananas. It worked wonderfully!
At some point one of my culture cities was making 1700 culture poins per turn! The other two were doing around 1200-1500.
Another side node. At some point I ran out of things to build in a lot of cities. So I just chose, wealth or research. It would be a lot easier if those things switched automatically on the science slider or that you could change wealth into research with a single click. Also the allocation of the specialists is terribly wrong. If you choose wealth or research, it should automatically select the merchants or scientists and not the priests (emphasis research is not working to make the priests be scientists). Also, in the culture cities, it should choose artists and not prophets after the population grows. Or perhaps, I'm missing something here.
Warfare
Because I was bored I wiped out the Inca. To my great suprise England declared war on Arabia. The first time in the game, an AI declared war on another AI (it is way to little as it works now). I thought Arabia would make short work of England because England had a bad tech disadvantage. Rifleman, Grenadiers and Cavalry against longbowman and knights. I was wrong England took one city after another. It appears Arabia had no horses and thus no canalry, and apparently the army of England was enormous.
Because I was bored I decided also to wipe out India. I was a bit amazed by the war weariness. -12 or more in some cities. Anyway, when I put culture on 100%, the temples and colloseums made short work of the war weariness. On the turn before I got cultural victory, I managed to wipe out India. Also got 61% land area and 75% of the population. So diplomacy and conquest would have been within reach also. If I had researched Mass Media i could probably have managed diplomacy before culture.
Conclusion:
The begin game was great. Some pleasant suprises later on (inca backstabbing me), but the rest of the game was a bit too predictable. The endgame just didn't have any thrill anymore, but took enough time as it is. Actually the gotms are the only games I finish. Nevertheless comparing your games with others is the real charm!