Well, one of the Large Monarch games I've been playing finally had just enough of the luck I needed. If accepted, the #1 Large Monarch Diplo.
Popped settler in 3950 and settled second city in 3900 BC; SGL on 3rd tech in 2110BC. Was at 19 cities at 1000 BC. Very good hut luck with COL when I was researching Philosophy; I had a very early Republic. 1500 BC or so entry into Medieval Era.
As you can see from the minimap, I hemmed the Persians in and defended the border pretty well. No DOW from the Persians. My one war was from the Germans, who DOW when I asked them to leave a border town that only had a warrior defending. I had just enough cash to rush a spear and it held against a couple of German archers that showed up a few turns later, but I allied the Byz, who seemed to siphon off the German troops on their long walk. In the replay I see they lost Adrianople to the war.
The Byz beat me to the Colossus! So I built Cope and Newton (hand builds) in an extremely productive cap.
Triggered Golden Age in 290 BC with Cope's after I built Maus. This was the mid-Medieval period and I 4 turned all the end stage Medieval techs and built up the remaining libraries and universities and pushed out a bunch of new cities. Aggressive settlement gave me 6 native luxes. Never traded for any others.
Entered the Industrial Age in 110 BC; pulled Industrialization after I traded only for Steam and Medicine. My best case at that 580 AD, meaning I had only 3 turns to give. The Golden Age ended while I was researching the Corporation and had to scramble to get it back down to 4 turns. I couldn't get Electricity to 4 turns, so gave up 1 turn there. I also had to give up a turn on Replaceable Parts, leaving me with only 1 turn left.
I used the 5 turns on Rep Parts to build up my research and eventually got Steel down to 4 turns. SciMeth was always only going to be 4. I then MM'ed my civ into near starvation to get Refining down to 4 turns....when I saw that I could do that, I knew 610 was possible. ToE in the Cap, Palace pre-build underway, I knew I had the turns right.
Last scare was running out of gold to run 100% science. The AI were broke - I couldn't get more than 60 gpt out of them total. My reserve had been 2800 or so, but I spent it down rushing some Unis and Markets in the name of science. But hard work on research meant that I could run a +70 gpt on MassProd and Motorized. I didn't try to 4 turn Flight since my I couldn't squeeze another turn out of the Palace and so I ran a big surplus in the last turn of Flight.
2d AI I gifted got Fission, and they didn't have Nationalism or Navigation, but that plus 810 gpt wasn't enough. Eventually I got enough to trade for Rocketry which a number of AI got, and then traded that for Computers, which was enough to get my Rocketry for gpt back and to get Fission.
Maybe the best luck was running into a set of beautiful flood plains in my far north with cities 58-64. They flipped to specialist farms really, really fast and probably were what got me over the top on Refining.
I get to abandon the other starts now and move on to something else. Large Emperor 100k still a possibility, as is a SpaceShip game. Probably SS first, since my best finish is a 3, and I'm on a science kick. An Emperor SS 2nd place kills 2 birds with 1 stone.
Emperor is the big leap, of course, because you have the 2d citizen born unhappy. Can't glide your way through the early game. Less chance of tech pops on huts, etc. But I'd expect the AI to better fund research and to research several techs for you.
Large Emperor #2 is 1270 AD which is 70 turns slower than this game. So I think it's doable, although I won't know until I play it. ZERO Russian games on the Large Emperor Spaceship chart...which is interesting.
@Spoonwood has the number 1 game with Sumeria, which seems like the obvious 2d choice.