Muppet pets

Bert & Ernie

 * Norman (Bert's Name) "Gozdilla the Wonder-Pup" (Ernie's Name), dog -- season 16 sketch

Count von Count

 * Fatatatita, cat -- Sesame Street
 * Grisha, bat -- Sesame Street
 * Misha, bat -- Sesame Street
 * Sasha, bat -- Sesame Street
 * Tattiana, bat -- Sesame Street

Doc

 * Sproket, dog -- Fraggle Rock

Elmo

 * Dorothy, goldfish -- Elmo's World
 * Prince, dog -- Cinderelmo only

Miss Piggy

 * Foo Foo, poodle
 * Flaubert, anteater -- Muppet Treasure Island only

Long John Silvers

 * Polly, lobster -- Muppet Treasure Island

Oscar

 * Slimey, worm -- Sesame Street
 * Fluffy, elephant -- Sesame Street

[Telly Monster]]

 * Chuckie Sue, hamster

Zoe

 * Rocco, rock