Anya (she and all of her litter mates were named for Buffy TVS characters): frequently referred to as Fluffy Girl, Hissy Face, or Lady Shedsalot

Ozymandias (named for one of my favorite poems, but also to kind of keep with the Buffy theme): Oz, Ozzy, Bubby, Fuzzy Boy, Big Boy, Squeaky, Fluff For Brains