Have not played Deity cultural yet. Noticed that whenever Spain is an opponent, Isabel goes from Friendly to Hostile in less than 5 turns. Once she DOW'ed around turn 40. Since I was playing a cultural game, I didn't have much in the way of defenses up.
The 12-turn GA's with Chitzen Itza is nice. the GPT is nice, but i try to time the Piety GA or the happiness GA to occur with a wonder i am building.
in nearly every game on the Immortal level, I am for Stonehenge, Oracle, Pyramids,
In my most recent Immortal cultural game on a pangea map as Ramses II (without the aid of marble's production bonus), I got SH, Oracle, Pyramids, Chitzen Itza, Kremlin, Himeji Castle, Sistine Chaple, Louvre, Hermitage, Oxford Univ, and Cristo Redentor. Won on turn 198. My opponents were Greece, Russia, Arabia, France, China, India, and America.
China was hostile from turn 121 to the end of the game and DOW'ed at turn 129. I was allies with a CS in their area of the map and China spent the next 70 turns trying to destroy the CS. Of course, i gifted all available units to slow down China's army.
The AI loves The Hanging Gardens, the GL, CI, Forbidden Palace, Kremlin, and Himeji. I hardly ever get CI. If I get Chivalry before I get Acoustics, then I'll build Himeji. When Acoustics opens, I should have a GE which I use to rush build the Kremlin and then use the happiness GA to speed up Sistine Chapel.
If the AI gets to Chivalry first (and thus Himeji), then that usually means Education has opened up instead. So I use the GE to build Porcelain Tower. The GS's this building produces in combination with Democracy's right branch means that I should have a GS around turn 150 or so when i need to rush-tech Telegraph for Cristo.
If not Porcelain Tower, then I try to get Oxford Univ for its free tech. Since it requires a necessary building in all cities, the AI usually is not inclined to go for this. Time OU to end when Telegraph opens so that you can rush-tech Tele. By this time, i usually have at least 2 GE's hanging around to rush Cristo. Some dumbass AI always builds it to prevent a cultural win.
That being said, Cristo needs to be completed by turn 180. Around turn 190-200, some AI builds the UN or Darius or Russia are building Spaceship parts and will win by 220. i don't see how getting CR after turn 200 will win the game.