Please don't disable them after medieval, I was going to make La Habana awesome by combining the Great Cothon and the Colossus (excessive much?)
When I play as japan on the 3000 bc start, I can usually get the Light house, colossus, and Cothon all in my capital (with a LITTLE whipping but a LOT of chopping)... And I think Japan's UP is called "honor" and gives half cost for all promotions
Now for more suggestions for Babylon's UP. Ready?

why not have the babylonians get extra turns in their golden ages AFTER code of laws?

additional healthy from all resources (such as wheat, sheep, etc.)

towns provide extra food and/or hammers

after the developement of CoL, give 50% growth to cottages, etc into towns (if I've already suggested that, I'm sorry--I thought about it and wasn't sure if it got suggested but it seemed equeally as appropriate and wouldn't come into play until about the time that Persia spawns, so they can use it if they survive).

they could get a free random great person when they start a golden age, irreguardless of Babylon's GP rate at that time...

workers could build improvements a turn or two faster
SanePerson, please note that your UP would make the UHV's of Babylon too easy... (though my suggestions were the same way, lol.)