From around the same era, there was Neil, the ghost St. Bernard from “Topper”.
Greg the Bunny, from the show of the same name.
Topo Gigio (mouse).
Do comic books count? The Fabulous Furry Freak Brothers (which will be made into a movie) features the fantastic scatological Fat Freddy’s Cat! (As I once read in a Rip Off Press catalog blurb: “Garfield gobbles lasagne. Fat Freddy’s Cat shits all over the carpet. Which one sounds more like a real cat to you?”)
Lee Marvin’s horse in Cat Ballou.