Culture victory turn 244, and it wasn't triggered by anything I did! Egypt was culture leader, but Arabia took out his final city, prompting me with the victory screen. To be fair, I did take out Egypt's other two cities...
So, not a 'clean' peaceful culture victory game, but not a full domination cheese either. I wiped out Assyria, Rome, Carthage, Morocco, and took two of Egypt's cities, but never declared war on Arabia, and did declare on Persia, but never brought any units to his coast. My main army: 6 frigates, courtesy of upgrade gold from a peace deal with Rome: I will take 1300 gold and 4gpt, thank you very much. I used my first scientist to bulb navigation, and headed straight east. It was just as well I attacked as early as I did, because Assyria was running away from the other civs. When I captured Assur, it contained Alhambra, Angkor Wat, Chichen Itza, Colossus, Great Library, Great Lighthouse, Great Wall, Notre Dame, Parthenon, and Pyramids. He had also already amassed more than 6000 culture.
The game felt a bit messy, but in the end three strong core cities carried it. I settled in spot, and went mining, and build order scout worker to get some early chops going. I also stole from Milan and from Rome. I think it was crucial to war Rome and keep him under pressure by preventing him from improving his tiles and getting cities out. I stole at least one settler, and kept him contained with only a scout, a warrior, and a Dromon. The early game was not flawless though. I went for optics very early to swim my settler across, but that meant I had nothing to build or to improve for much too long. And since I only settled one city early, that was totally not worth it. I did settle a third city after NC directly south of Carthage for the iron node there, escorted by two composite bowman and three Dromon to make sure the city would not immediately die, but Dido never tried anything.
After tradition, I opened Piety with an idea of doing sacred sites on the side, but by the time I enhanced there were no buildings left so I abandoned that plan. I ended up with tithe, mosques (pagodas was takes), production, and guruship with camp food pantheon. I read above Fiddlesticks to sacred path, that might have been a nice bonus belief to pick, but I didn't think of it. Instead of continuing in piety I opened exploration to make the naval wars more comfortable, and I also took the hammer policy and eventually the happiness policy.
For ideology I took autocracy for the Futurism tenet, but I in no way optimized it. I started generating great people early, so by the time I got my ideology (having detoured to navigation of course), I had already generated a bunch of them. So in the end I'm not sure whether it helped or not, or whether the tempo of Freedom or Order would have resulted in a quicker victory. On the final turn, I had a little over 6000 tourism on Arabia, and maybe a third of that came from Futurism.