Louis XXIV
Le Roi Soleil
While western sources liked to talk about those "treacherous Greeks," Byzantium and religion clearly have far more to do with each other no matter how good they were at espionage (and allegedly assassination).
Typically, there are more civs with 2 uus than others. However, in this expansion, that's hard to believe. Just counting civs that could have them is difficult. I think the Byzantines will have two uus. I think the Mayans and Dutch will not. The Celts and Carthage are somewhere in between. I don't expect the Celts to because no matter what you name their unit, it ends up basically the same (Gallic Warrior, Pictish Warrior, etc.). .
Mayans:
UA - Faith specialists generate science
UB - Ball court, colosseum replacement, adds extra culture.
UB - Cenote, temple replacement, needs to be build near fresh water, extra faith.
I wouldn't go with Cenotes since they're not buildings, but naturally occuring landscape features. Besides, I doubt they'd have a civ with no UUs. Unfortunately, I can't think of a UU that they could have. In Civ 4 they had a unit that could enslave defeated military units (converting them to workers).
Also, for the Celts:
UU: Druid - Great Prophet replacement (similar to Mongolia's Khan that replaces the Great General), though what it does I haven't given too much thought to yet since we don't yet know how the Great Prophets will work. ***Have Great Prophets even been confirmed yet? I've read so many threads that I forget what's real and what's speculation***
I don't remember them having that bonus in Civ 4. http://civilization.wikia.com/wiki/Holkan
Maybe I'm mistaking it with another civ, or Civ 3, or maybe I'm just halucinating. I swear there was a unit that could covert defeated units to workers in some iteration of a civ game.