jesusin, contender. Goal: fastest cultural.
Since we are not philo, we won't get many GA, so I expect to make up for this in the way of religions and cathedrals.
Turn 1:
I won't settle in place. A cow and a silk? That's not enough for a capital. I will move and look the surroundings, then choose the perfect place to settle. The worst thing that could happen is that there are dozen of resources hidden and then the initial spot is the best place to settle; in that case I would only lose 1 or 2 turns to go back. But imagine my desperation if I were to save those 1-2 turns and then find out that I have not settled in the best place and I have missed a gold or something!
Warrior NE. Settler NE. See the gold. Should I plan to get a CS slingshot? I consider settling here, I have not lost a turn yet. If I do, I will have 3 food from the cow but working the gold will consume 2 of them, leaving me with a capital that grows 1fpt. Not nearly enough. This is not a good place to settle. Let's keep on moving. Settler E. See rice.
Time played so far: 10 minutes.
Turn 2:
War NE. I am on a blue circle. Should I settle here? Or should I move 1S and settle there? By moving S I would save a forest and I would trade a prairy for a plains. But by staying I am on a blue circle. Do I trust the AI settling pattern? Of course I don't. Then forget the blue thing and use your brains. I move 1S and settle (2E of the initial position). Rice, gold, cow, silk, dyes all in the FC. Not bad for a single turn invested.
The blue circle happened to prefer a second silk to a dyes and didn't take into account the wood, bah!
Time played so far: 50 minutes.
Now, what to research, what to produce?
Do I know that there is very little land? No, it's high waters, but I could very well be alone on this island. And Emperor AI doesn't get 2 settlers. So I am not in hurry to claim the land, I won't build a settler first.
If I wait to pop2 to start a worker, would the time needed be almost the same as building the worker at size 1? In other words, are there 2 wonderful unimproved tiles that I want to be working asap? No, no magic tiles. So I won't start with a warrior, but worker first. (Another reason to go Warrior first would be to go worker stealing, but I don't know if there are neighbours or not and I want to play a peaceful cultural game).
So worker first it is. Now, what to research? 3 options:
a) Agri+AH for developping the available tiles.
b) BW for immediate chopping and slavery.
c) Myst+Poly for a religion.
c) is tempting. I said I will need lots of cathedrals. Delaying Agriculture while having a rice nearby is an expensive investment, though. If I was sure I would get the religion I would do it. But others can start with Myst and I have already lost 1 turn. What if I try and then get no religion? I would have delayed Agi for nothing! No way!
b) is tempting. Slavery wouldn't be of much use until there is a big excess of food. But chopping settlers and workers must be nice. I don't know why but I never choose this path, I just found myself mumbling something like "inherent inneficiency of pre-maths chopping". So I could very well be mistaken, but I discard this option (please, be aware that this sentence implies that I am 100% sure that there has been no mistake so far in any of the previous decisions!

).
So I choose Agri. Any reason to not build a worker now that I know what I am researching? No. (There could have been a reason if I had chosen to go for a religion and there was nothing to mine). So Agri and worker it is.
Time played so far: 75 minutes.
Turns 3-10:
I explore with my warrior and find 3 AIs. I reasses my strategy every time. The strategy now is:
- Land is scarce, must put a settler out asap. The quickest and more regarding way is to grow to size 3 while building a settler scort and then build the settler while working rice+cow+gold. (This was reassessed when horses appeared).
- Isabel is good at getting religions, she will be my friend, I will addopt her religion, we will open borders and she will get me a lot of religions.
- Roos is peaceful, with +1peace,+2OB,+4gifts and later +2years of trading resources he will be pleased even if we have different religions. He will be my trade partner. Alphabet is a priority.
- Monte is crazy, he could ruin my game when I shut down research. And I said that land is scarce... let me think... I've got it! Monte will give me his cities!
Now, early charriot rush or late catapult rush? He founds Hindu, so his cultural defenses are high, let's go for cats. I don't want him to be strong and I don't need to be his friend, so my warriors will try to steal his workers.
Time played so far: 100 minutes.
Turns11-500AD:
I settled some cities, researched some techs, stole some workers, built some buldings, killed one civ and made some mistakes.
Time played: a few minutes more than 100. No need to think a lot in this phase. Everything has already been decided in the first 10 turns. From turn 11 I new it would be a great victory. Little mistakes only delayed victory a few turns. All mistakes after turn10 are little, by definition.
More details in the last spoiler.