Julien Therrien has a cat that looks like Pusheen (an internet cartoon cat who has created a merchandise empire). He took advantage of this, and recreated several of Pusheen's digital 'stickers' with adorable and hilarious results. (This page is in French, but is easy to get the gist of) Previous Pusheen
In 1986, ABC executive SQuire (sic) Rushnell attempted to begin a Christian franchise on par with the Care Bears with a live-action/animated special: Kingdom Chums: Little David's Adventure (multi-video version) (also adapted as a book). Only one of several attempts to continue the series came to fruition: the initially direct-to-video Kingdom Chums: Original Top Ten (multi-video version).
Everyday Cute: Is Cute Everyday.
"Catnip. I wonder what that is." Catnip Capers, a TerryToons animated short from 1940. SLYT.
Cat and Bunny [caution: shockwave]: a hare-raising tail of love in the face of all common sense.