Now, since almost all victories are done and I can't possibly hope to beat one of you, I'll just grab Tibet before anyone else does:
Tibet, Monarch,
Epic , 600 AD start:
I forgot to take a shot of my empire

but I controlled Ayyuthaya, X'ian, Chengdu, Pataliputra (no way I'm going to remember the Tibetan name for it), Deli, Pagan and Llhasa (Rasa?) of course. Khmer were my vassals.
State of the empire at 1000 AD:
I sent the two Khampas to Pagan, captured it, sent them to Pataliputra and Deli, captured them, and razed the city near the Marble and the mountains in western India (because it's in the Mughal flip zone). Double holy city Pataliputra is almost essential because it can run a
lot of priests for the third goal. It gets flipped by the Mughals, though.
Whipped out another Khampa and a catapult, hired some mercenaries and invaded China in 1000 AD. Took Chengdu and X'ian, made peace. In case you wonder why: you can use all production to help with the spread Buddhism goal, and you don't need any techs anyway.
Got Buddhism to 30% in 1350. But before that, the Mughals spawned and immediately flipped Deli. I put 10 whipped Khampas next to Deli, refused the flip of Pataliputra, took Deli and moved all my troops out of the defection zone for 10 turns.
Last goal is rather easy, maybe make it 6 or even seven Gprophets. OTOH, that might cause problems for people who play on 3000 BC. I reached it in 1412.
I switched to City States from the beginning, although that's not necessary (I'm just addicted to City States

)
I built 42 Buddhist Missionaries in total. The UP is great, by the way, nothing like any other UPs in the game.
Ended game in
1412 AD, with a score of 4739.