My 3 fave, in order:
Inca - I am not predisposed to like the Inca (whereas I tend to like African and SE Asian civs) but I like pretty much everything about this Civ from the colors, to the Slinger UU, the terrace farm, but especially their ability. I love planning my new cities around mountains to take advatage of the terraces and they roads-over-mountains.
Spain - My first draw was their colors and icon, but once I discovered their special ability, they instantly become a favorite for me. Suprising to me because in previous versions of Civ, they were always a least fave of mine. I really enjoy exploring, and I'm amply rewarded by the Spanish UA for my efforts.
Babylon - Another Civ I was never keen on in previous Civs, but I like the UA and UB, as well as the colors.
Civs I want to like but am on the fence about:
Polynesia - In theory I was set to love this Civ, since I love Polynesian culture, but when I play on a Continents Plus map, I always am started on a continent. If I could just start near chains of islands without having to switch to Archip., I would love this civ.
Iroquois - Loved this Civ unt I got Inca, and the Inca UA trumped the Iroq UA in my book. I still like them though.
CIV I HATE:
Persia: I hate the McDonalds colors, I hate having him as a neighbor, I dislike the artwork of the leader, I don't like the city names, I don't like the UU...I just hate this Civ. I wish I could delete it and get some Steam credit towards Korea.
CIV I WANT:
Inuit: I may not play Polynesia all that much, but I LOVE having them in the game. I know Inuit is a stretch, but it would just be so cool to have a snow/tundra specialist civ.
CIV I WANT that's REALISTIC:
ISRAEL. Also, I miss the Khmer (probably my all time favorite), the Ethiopians, and would love the Magyar/Hungarians or Austro-Hungarians.