I have a few. One of them is definitely rabbits...there's a reason I've been called things like "rabbit girl" by some of my friends. :B I have a thing for rabbits of any kind. Why I do, I have no idea...I just think they're adorable, especially ones with lop ears.
I like parrots as well, mostly for their intelligence and for their variety of colors. My favorites include sun conures, for their colors (*_* love them so much), and kakapos, for...some reason. Maybe it's because they're unique compared to other parrots (look them up).
Other favorites include animals like weasels, ferrets, otters, armadillos (really random, I know), and cats...specifically house cats. After living with 4+ cats for the past ten years, house cats have actually become one of the few special animals to me.