My very first gotm.
Was a really good learning experience. When I play normally, I don't usually "cheat" per se...if the RNG is against me I grin and bear it, or if an unexpected invasion comes in I whip my people into shape. If I make an unintentional boneheaded mistake, though, like "oh, my capital was randomly working 4 citizens for the last few turns" or "why the hell am I researching archery" or other random little things I have no qualms about re-loading. Playing this game ironman convinced me how sloppy a player I still sometimes am

Made the game much more interesting, though.
I settled in place, then beelined to bronze for whip (after getting sailing, I believe) and then to iron for the prates I feared/hoped I would need. They didn't end up getting much use as I had a remarkably peaceful game. I expanded to the northwest, the north, and the southeast islands. Pretty early on, for some reason I can't fathom, Genghis settled the island to the northeast of the start, half a world away from his other cities. My praets said hi for the only war/conflict in the whole game.
As I said above, a pretty inefficient game (my early teching was all over the place), but I feel I got lucky in a few places. I was planning a cultural victory if I found a few other areas with good food resources, both of which were found on the southeast island. Went nuts with caste system, I think I had twice the artists in the starting city as I have ever had total specialists in any other city ever. I thus also planned a specialist economy, but didn't end up building the pyramids. I was able to limp by with the gold from two cities on the western island, a few cotteges, and a few scientests all the way up to representation and did a little better from then on. I built 3 wonders: Great Lighthouse, Colossus, and Sistine Chapel, and was surprised that I got them because I didn't start building them until an AI had the prereq techs for quite a while. Also, although I was aiming for a cultural victory none of the three wonders were in any of my legendary cities (due to my high food cities having pretty meager hammer output). This was also only my second attempt at a cultural victory, and I didn't know the little fact about how after 1000 years (regardless of the number of turns) any cultural buildings double their output, and I ended up using a barb city that I captured relatively late in the game as one of my cultural cities (I was of the mindset that the artists would do most of the work.)
Once I got rep, I worked my way up to liberalism for the free speech and tech (chemistry) went for steel so that I could build some defensive ironclads, and then turtled up. I specifically avoided astronomy so that I wouldn't kill my colossus bonus. Also, with all the lovely food available, I went pacificst and GP crazy. I was also lucky enough to have access to buddhism, judiasm, confucianism, and islam (which I founded) for most of the game, so I built a ton of cathedrals et al. Near the end (about when I was turtling) I got a great engineer I didn't need, and used him to build a synagogue in one turn in the near hammerless starting city (I bet that was one heck of a nice synagogue

.)
I believe I had 4 GSs (acadamies), one GP (islamic shrine), one GE (mentioned above), and I think 9 GAs (culture nuke at end.) This was also the first game I really paid a lot of attention to diplomacy, trying to get everyone to like me so I didn't have to muck around with too much of an army. I didn't get war declared on me once (first time ever). Isabella was hot/cold the whole darn game, but the lack of open borders allowed me to have the entertaining experience of having a galley of both her's and Ghengis', each with an archer and a settler on them, landlocked against my cultural borders and the tiny triangular island for almost the whole game.
Anyway, a ton of fun! Final result, cultural victory 1874, with the legendary cities my starting one, and one near each of the two groups of floodplain/wheat/seafood on the southeast island.