I've heard good things about Watership Down, though I haven't gotten around to reading it.
Bambi was a novel written by Felix Salten years before Disney adapted it into a movie.
White Fang and The Call of the Wild are good.
The Tale of Despereaux is a Newbery Award recipient, which is a children's lit award.
The Wind in the Willows.
The Velveteen Rabbit.
The Jungle Book.
Fantastic Mr. Fox.
Animal Farm by Orwell.
Mrs. Frisby and the Rats of NIMH.
Otters in Space is YA, but I haven't read it so I can't give you an assessment.
Calvin and Hobbes counts, I suppose.
From what I can tell the comics by Balto (aka Albert C. Peña): Orville, Critter County, and Hodges Pond.
Julie of the Wolves might fall into the furry category.
Buying Mittens and Gon the Little Fox, which are two Japanese children's stories by Niimi Nankichi.