the cat on Early Edition- this is proof that cats can be trained like dogs are.
Salem- Sabrina the Teenage Witch
Kitty- The Addams Family
Data's cat- Star Trek: the Next Generation
Eddie- Frasier
Happy- 7th Heaven
Murray- Mad About You
Arnold- Green Acres
the many horses on Heartland

Mister Ed
Arnold Ziffel
The dog on Petticoat Junction
Salem the cat (although not a real animal)
Garfield & Odie

Flipper
Arnold from Green Acres
Pink Panther from The Pink Panther Show
Garfield

Murray Mad About You
Eddie Frasier
Marcel Friends
Jacques Roseanne
Snowball II The Simpsons

Freeway on Hart to Hart

Tiger from The Brady Bunch

Fluffy-The Brady Bunch (1st episode only)
Dreyfuss-Empty Nest
Petey-The Little Rascals
Chico (Julio's goat)-Sanford And Son

Arnold the pig from Green Acres
Mr. Ed
Lassie
Flipper
Sabrina's cat Salem
Tramp from My three sons
Fluffy from the Brady Bunch
Astro from The Jetsons
Dino from the Flintstones
Garfield
Chico the goat from Sanford & Son

Scooby Doo
Bandit - Johnny Quest
Arnold the pig - Green Acres
Axl (cat) - Holliston
Mr Ed
Jack (dog) - Tales Of The Gold Monkey (c'mon he wears an eye patch!)
Bear - BJ And The Bear
Comet (horse) - The Adventures Of Brisco County Jr
Chipper (dog) - Land Of The Giants
Hobo (dog) - The Littlest Hobo
Lassie

Buck Bundy - Married with Children

Meatball - Baa Baa Black Sheep/Black Sheep Squadron