I just did the Egypt UHV. With this city.
Civilization: Egyptian Exodites
Scenario: 3000 BC, version 1.12
Difficulty: Monarch
Speed: Marathon
Score: 7227
Virtual Victory: Turn 439(56 AD)
Final Victory: Turn 462
Now I admit this was far from smooth sailing. Getting through the first half of the game was hell, there were stretches where triggering a Stability Check would make me collapse. Multiple times I had to leave my current research project unfinished to avoid this. Finishing techs after completing a wonder seemed safe. I had to start over from scratch four times, I don't even want to know how often I had to reload trial and erroring at which points I can afford a Stability Check.
After having little luck with just harrassing Babylon to prevent him from getting any of Sphinx, Pyramids and Hanging Gardens I decided to go for an early knockout punch instead. Six warriors against a bowman and a warrior were enough. The first few warriors scoured the African continent for animals to farm XP, every little advantage counted.
The first goal was by far the hardest, I got my Great Prophet to complete the culture requirement with barely four turns to spare.
That was the hard part, finishing the wonders after that was easy, I had plenty enough production even lacking stone.
Getting Drama from the Oracle put the lid on the third goal.
The Great Library was instantly finished by my second GP, an Engineer. As you can see in the previous screen getting a GE was a 50/50 shot. The complementary Golden Age for achieving two goals let me construct an Opera House in 20 turns. At this point my culture slider of course was on 100 %.
One turn before Virtual Victory.
The hard part was the first goal, after that I pretty much only went through the motions. Could probably have been another 10 turns faster if I paid more attention. I stupidly forgot to maintain contact with the other civs for a while, costing me the three trade routes of my city and I should have sent an axeman east to India sooner. I only did that after the Virtual Victory to tech trade for additional score. Not that my score in the end is anything impressive, mind.
Also would have been a lot faster on the third goal if my third GP was a Great Artist(bit more than 20% chance I think, see Great Library screen). Just can't overcome the Great Library's GPP output even when running two artists. But oh well, the Academy gives +4 Culture too. That would be a rather easy way to reduce my turn number though by redoing that part until I get an artist.