I am not a big fan of furries. In fact I might actually hate them. There are people who like them though. Read about them here.
Check out furry artwork like this, this, this, this and this. I am sorry to these artists for using your work as examples but I needed examples. These creep me out, animals posing like sex objects. I can't tell which is worse, sexy furry art or the movie, Monster-in-law. Anyway, we did grow up watching cartoons that had furries in them and there's also a couple of furry artwork that I like. Here are a few.
By Shawn Ye:
Mau, a race of creatures found in The Spoils universe. These are some of the cards that feature them:
Kimahri Ronso, a character from Final Fantasy X and FF X-2:
Bugs Bunny, I used to draw this fucker a lot when I was young. I drew the Smurfs too. I hated the Care Bears.