I heard that it's not the hair, but the skin flakes. I don't know. But I do know that certain animals are "hypoallergenic," for lack of a better word. Dogs such as poodles and Yorkies have "people hair," not fur, so they don't seem to aggravate allergies.
The Sphynx (I've always wanted one of these cats, but can't afford one

) are also supposed to be easy on allergies. There's also another "hairless" dog, called a Mexican Hairless, that, like the Sphynx, has soft, downy, almost nonexistently short hair--again, supposedly easy on allergies.
Hm...maybe it's just me, but the "uglier" a critter is, the cuter I think it is. Kind of the "so ugly it's cute" thing. I don't think Sphynxes are ugly, though. I like their big ears and bunny hind legs. Not to mention that beautiful, angular, egyptian face!
Sidhe