Paper Model Animals:

Domestic Pet Paper Toys

Canon/Animals - Very cute white mouse. Labrador Retrievers, Dachshund, Shiba, Chihuahua with outfits, Japanese Bobtail Cat, American Shorthair Cat. Lucky Cats under the "Items" 3d papercraft category.
Cat, Alchymists - From a wizards book, very nice. One of my favorites.
Cat Angel and Bunny - Go to paper models at top then select from the empty boxes near top.
Cat, Hako
Cat, Orange Tabby - Kitty box, simple and cute! Poezendoos
Dogcow Cutout Page
Dogs - Labrador, Beagle & more
Hamster on a Scooter - Link is under the paper model template image on right.
Hound Dog - Bartolomeu the dog. Cute and simple.
Husky and Dalmatians
Kids Nifty - White and a black-and-white Chihuahuas. Orange tabby and calico kittens. Bunnies. Robotic dogs. All very cute!
Kitty Characters
Megabyte Paper Model Cat - Our very own paper cat!
Pet-Clip.com - Very Simple paper models of dogs and cats, cute!
Puppy - by Goto Kei
Raspera - Super Real Paper Craft - The only free paper toys are near the top as "Sample1" etc. A total of 3 free very nice samples.
Sanwa - Cute and simple puppy dogs with their own houses
Sitting Anime Cat