I went for a Cultural Victory.
I chased after Meditation but missed it by a turn. I picked up Mining and then missed Polytheism.
I also missed Judaism, so I used The Oracle on Confucianism to ensure that I wouldn't keep missing ALL of the Religions. I did grab the other remaining 3 Religions pretty easily enough.
Other than The Great Wall, which I missed building by 3 turns, I think that I pretty much built every Wonder that I could get my grubby little hands on (in other words, every other Wonder before The Statue of Liberty, if I recall correctly).
I Axeman-rushed Churchill and Kublai such that their capitals and my capital were my 3 Legendary Cities.
Marble from Churchill and Stone from Kublai made the Wonders very quick to build. In fact, with Forges, Organized Religion, the Industrious Trait, and Resource bonuses, in most cases each Hammer invested into a Wonder was worth 3 Hammers.
In the final replay, each of the AIs on the other continent managed to steal one thing from me: 1 Religion to each of 3 AIs or The Great Wall by Brennus. Other than that, they were of little use and 3 of them only met me within the last few turns of the game, with me meeting Brennus and Mansa at the same time thanks to Brennus having vassalled and one-city-challenged Mansa.
I didn't feel the need to Lightbulb up the Astronomy line, so I used 2 Great Scientists to Lightbulb Education instead (who says that you shouldn't build The Great Library in a Cultural game?

).
I only forgot to switch into Bureaucracy and later Free Speech by a couple of turns each time after I learned those Civics' respective techs.
I kept Churchill and Kublai alive, although all that it really netted me was some partial-research on Monarchy, Horseback Riding (which was quite useless, since I didn't even bother to waste my time to hook up my Horse Resource until sometime in the 1400s), and possibly a couple of Trade Route boosts, but I don't recall ever seeing foreign Trade Routes appearing in my City screens, so I probably didn't benefit all that much.
I grabbed the Great Merchant from Economics for fun (I rarely do that in my Cultural games), but he didn't speed up my victory in any way.
I also had an extra Great Artist that didn't help in altering my Victory Date, since the last two Cities to manually reach Legendary Status would have achieved that status on the same turn as each other.
Oddly enough, I found that the Gold Resources were so poorly placed that the only one which I had in any of my Cities' fat crosses was the one in the capital, which I picked up by settling in place.