I think the Rito have always been my favorite race in Zelda. I like how they evolved from the Zoras of OoT (or at least it's implied) and let's not forget the kick ass music on Dragon Roost Island where they reside. That being said, I also like the Zoras, especially from TP. They're gorgeous and so is the place they live.
Noticed no one has mentioned the Ooca. Strange race, but I think they're unique. Like with the other races I like, I think their domain is great, but it definitely outclasses Zora's Domain and Dragon Roost Island. Even that catchy music, yes. The atmosphere they live in is breathtaking and even more so is the thought of how armless bird-people made it so.