One for the canids: "Ginga: Nagareboshi Gin"

From AniDB: Ginga: Nagareboshi Gin (Silver Fang) is a tale about a little puppy dog who was born in the wilderness. He has silver striped and is destined to become the defender of people from perilous cave bears; which ironically, his father, Riki was killed by Akakaboto, the most dangerous cave bears. Silver then decides to seek revenge at any cost, even though he has to leave his best friend, Daisuki, to follow and search for more wild dogs in their fight to kill Akakaboto.

So, sort of a Godfather Bear? ^_^ The torrents can be found here. I've not seen it yet, so this shouldn't be taken as a seal of recommendation - but it seems to be an interesting older (1986) series, and furry. Although perhaps one of the best - imho - is also one of the least known: Siawase Apartment's Okojo-san, featuring a particularly cute ferret who's still essentially wild; this is not Hamtaro! (Nor, for that matter, Ebichu. ^_^;;)