The Nest had that kinda undead roach-cat thing.
Ghostbusters II had an undead fur coat.
The Resident Evil movies have zombie dogs and birds.
Mulberry Street had zombie-rat-people.Zombie Apocalypse
had some zombie animals (judging by the stills, one of them appeared to be a zombie lion or something).
Frankenweenie kinda counts as well, and it's a double whammy since there are two version (1984 and 2012).
Hell of the Living Dead had a zombie rat.
There's the upcoming Zombie Shark
The Boneyard had a bipedal zombie poodle.
Not a movie, but there's a comic called The Other Dead that's all about zombie animals.
Does the dog in CHUD II count?