I don't know that I have a favorite race, but I'm particularly fascinated by Nords at the moment. This is, in all likelihood, because Skyrim sparked my current obsession with all things Viking/Norse. In fact, I just watched a documentary on the mystery of the Ulfberht swords.
I like Orcs, Bosmer and Argonians a lot, too, so I'd have to say that, perhaps, I have a favorite "human" race, which is probably the Nords, while I also have a list of highly favored "beast" races.