India is the one that needs to be absolutely reworked, its the only UA with penalties.
France and possibly Germany are getting reworked, which is a good sign, some other civs could do with tweaks to keep them on level with BNW.
America the extra sight is useful, but tile purchasing is rather situational, I'd like it if they got rid of the tile purchase and gave them a late game cultural bonus, something to form strong ideologic blocks.
Russia The Krepost could use some love to make it worth it, considering their start bias, it would made sense to give the Russians some sort of bonus to tundra tiles, it fits them flavour wise.
Bizantium Give them coastal start bias, cost for founding a religion not go up for them and make the Cathaphract a knight replacement. And voila you've got a cool civ now, you can get your religion on time, use the Dromon in the early game, and use the Cathaphract to wage your religious wars in the middle game.
Mongolia A simple addition would make them that more useful: tribute from CS doubled. You are not going to be making friends anyway, extort a lot of money and workers from CS's, build a strong force with it, and go conquer the world, if a CS is being problematic come back, bully them again and conquer them anyway.