Challenger, no HOF mod, 6th attempt for Fastest Conquest. (Note: Know first four were unsuccessful.) This is my full spoiler, didn't do an earlier write-up.
Result: 1000AD Conquest Victory.
Pre-game assumptions: Barbs will be nasty. Lots of early warriors as stationary fog busters will delay barbarian hordes (idea by culdeas in pre-game discussion; gratze). Will try to accomplish win with mostly Horse Archers and if I can get to Machinery and find Iron, then Crossbowmen! Ive tried to lay out more of my thought process at various points below. Hopefully it is useful to those who believe society should have stopped technology in the early Classical era and that anything else just isnt Classy.
City builds: 4000BC Washington (in place); 2520 New York (5N/1E); 1920 Boston (3N/2W); 1240 Philadelphia (9N/3E); these were the only ones I built; I did capture 5 early, 3 late and razed 23 others
Initial construction in Washington: Worker, Warrior, start warrior until size 2 reached then start working two mined hills for: Settler (founds New York which starts immediately on a Settler), finish Warrior, Stonehenge, Workboat, Workboat
Early Worker: mined two hills for Washington, connected DC to NY via road, and put the NY pigs in a pasture.
Cities: American 4, German 2, French 3 = 9 total; +3 captured from China/Greece on last two turns for 12 at finish; I wonder if the barbs have more
City internal construction: 4 Granaries, 9 Barracks, 9 Forges; the granaries were so that I could use whipping effectively, but I did almost no whipping this game so they were a waste of time
Research: 3720 Mining, 3360 Wheel, 3320 BW (via GH), 2880 AH, 2600 Mysticism, 2400 Hunting, 2160 Archery, 1360 Horseback Riding, 1200 Pottery, 650 Metal Casting, 550 Writing, 300 Alphabet, 275 Sailing Masonry Iron-Working Meditation Polytheism, 250 Priesthood Monotheism; war trades: 100AD Monarchy, 375AD Math, 400AD Currency; would never get Machinery (315/1046 w/ 185 turns to go since forced to 10% soon after getting Alphabet)
Wonders: 2280BC Stonehenge in Washington (Moses added to Washington in 575BC); captured in 25BC the Pyramids which were built in 625BC in Berlin
Revolutions: only one in 25BC to Police State and Slavery
Total units built: 3 Settlers, 4 Workers, 5 Work boats, 2 Galleys, 6 Warriors, 1 Archer, 7 Swordsmen, and 148 Horse Archers (71 HA units destroyed in the field).
Funny that: I didnt do much exploration early, keeping my warriors close for fog busting along the axis of danger to N and E, so I didnt find a plethora of GHs like some, but was lucky enough to get Bronze Working from one and not much later had copper appear inside Washingtons influence. Some would have found this infinitely useful, but I didnt hook up the copper soon (though the extra production was useful), as I wanted to build horse archers with only warriors in cities, not spearmen; nor did I build a single Axeman (with a chuckle of

irony for those who were trying to go that route).
Wars:
0550BC-0275BC vs French
I decide to go after France first as Stonehenge shows Im on the West center with LOTS of land to the East. At this point I know Bismark, Napoleon, Montezuma and Ghandi (Ghandi doesnt know B or N and Napoleon doesnt know M or G). I had seen Ghandi across the water in Monts territory. Since I havent been exploring much Im using this type of info to SWAG their locations. At this point I have 4 barracks, a granary and a forge. Im building 3 forges and a granary; after the cities have all three, they will be military machines. When I declare war I see Napoleon has 3 total cities in the trading screen (capital + two). I have 6 warriors and 6 HA, with the HAs all headed for France, 4 on the border to start. By the end of the war Ive captures Lyons and Paris, deciding to pass on Orleans for now as they were nice enough to offer me 3 techs for peace.

Both cities will build Forge, then Barracks, then military. Ive met China who has not met the Aztec. By the end of the war Ive now constructed 14 HA with only 1 being killed.
Plan at this point: Based upon how Ive met folks so far I make the following assumptions and plans. I want the Pyramids so I plan on heading North through Germany and the sweeping East (we know what happens to the second part of that plan). I suspect China is far to the West, so I send my HA near Orleans off to the East to find them and will eventually move spare workers to build a road to the East. I suspect the unknown Civ is in the West also. I suspect India is in the South based upon who they know, so after I have enough HA headed toward Germany Ill set up a sweep across the water to destroy the Aztec and then through India (learn later that assumption was wrong). At this point I was thinking of eventually having three lines of advance across the board (North, Center, and South).
0150BC-0100AD vs Germany
Germany was better defended that I thought; they had 5 cities when I declared war. I captured 2 (including Berlin), razed 2, and left Cologne since they were nice enough to offer Monarchy so I could eventually hook up the wines

, which I ended up never doing

. My two new German cities will also build Forge/Barracks except the one needed Work Boats first.
0050AD-0375AD vs Aztec
0100AD-0400AD vs China
0275AD-0300AD mop-up vs French (destroyed)
As I get ready to open these conflicts, Ive found China and India territory, having mapped out most of China, but not entering Indian territory much. Ive met Greece and suspect they are on the other side of China, but dont check. Based upon this I attack China thinking I can sweep through China, then Greece and hit India from the North and West. By 50AD Ive actually built an Archer to protect former French territory and have constructed 32 HAs with 24 still alive. I see the Aztec have 5 cities and China has 4 cities. I consider holding off on the Aztec, but Ive seen a few Indian pieces down that way so I still suspect they must have cities spread down that way, so I go for it. Had I only mapped out India (and found Greece) instead of China I would have played this different, destroying the far opponents first. Ideally I would have done India and Greece, then sweep back for China and save Aztec for last. The raging barbs really played an effect, as I didnt explore enough to fix my enemy locations before I started attacking. Tactically sound, but Strategically poor decisions.
0425AD-0640AD vs India (destroyed)
0520AD-0540AD mop-up vs Germany (destroyed)
0600AD-0620AD mop-up vs Aztec (destroyed)
As I prepare to attack the lead scorer (India), I still havent mapped them out or know where Greece is located yet. I left China with the lone Shanghai (with walls on a hill) and didnt see Greece as I moved to the NE around the lake with a lone and killed by barbs HA; they were supposed to be there. I still havent explored in the far North, far West, or far South and Southwest. Since Greece didnt know France or the Aztec, I can only suspect they are in the West. Woe is he who leaves Greece till last (when attacking with HAs), which is what Ive just done. I have a nice Eastern Road that bypassed Mycanian

(9E/2N of Paris) to the south. I have 10 HAs on the India border and a string of them lined across the Eastern Road, which would not have been good for caravans as the barbarians continuously harass me along this route. India has a whopping 7 cities, though Alexander jumps in unasked in 520AD. As I start my conflict with India Ive built 5 Swordmen, all still alive and have 45 remaining HAs of the 67 Ive built.
0620AD-0980AD early declare vs China (destroyed)
0780AD-0980AD vs Greece (destroyed)
Well, I really only declare war against China so early again as I want to convince Greece to do so and send some of their units that way so I can attack them when a good portion of their forces are far, far away from their 6 cities. They end up sending at least 8 units that way, including 2 Phalanx, which was good not to have to face them in cities, though they did hurt some of my units still on their way to Greek territory. Since we became friends during our mutual struggle vs India, they agree that China must go as soon as India is destroyed in 0640AD. I wait to attack them until a good portion of our forces have bypased each other, as I head for my sneak attack and they head toward China, both of us using the same roads in opposite directions. The good news is that I can actually trade resources with Greece and see they dont have copper hooked up. My first set of 4 HAs use our open borders to find their northern iron mine. (Note: this is how I normally like to do things with much early exploring, but the darn raging barbs wouldnt give me open borders.) Hoping it is their only source (which it was), I make that my first tactical goal, though I would find more Phalanx than I would have liked anyway. In 660AD I had over 2 dozen HAs on their way to the Greek border with a line of them to follow. At this point Id built 7 Swordmen, with only 3 surviving to this date. I also had a total of 61 of 95 HAs remaining.
Death in the field: Saving Greece for last can make for some hurtful battles. It is always a little depressing to start a battle against a city with a Level 5 HA with Combat III and Shock (+25% vs melee) only to watch him be slaughtered by a Phalanx. Of course, the 0.9% chance of victory had nothing to do with it. Then the next HA with the same stats had 3.7% chance of victory and lay spew below the walls when all was said and done. Finally making some inroads to give the next attacker a 19% chance, but alas he would join his brethren in death. Then finally the Phalanx was hurt enough to deserve a rest so the Archers stepped up for the fray (the first one having City Garrison III). And yet another, and another, and another of my fine Horse Archers would be ground into dust. Of course, the city was still razed that turn

. However, that is how one goes from 34 HAs destroyed before attacking Greece to 71 HAs destroyed afterwards.
