Animated cats we came up with
Artemis - Sailor Moon
Aslan, lion -The Chronicles of Narnia
Bagpuss
Captn Cuddlepuss - Creature Comforts
CatDog
Cheshire Cat - Alice in Wonderland
Duchess, Thomas O'Malley etc - The Aristocats
Famous Fred
Felix
Figaro - Geppetto's cat, Pinocchio
Fritz the Cat
Garfield
Henry's Cat
Mr Jinks - Huckleberry Hound Show
Pink Panther
Prince John - lion, Robin Hood
Puss-in-Boots - Shrek 2
Sebastien - Josie and the Pussy Cats
Shere Khan - Jungle Book
Simba, Mufasa, Sarabi, and Scar - The Lion King
Snagglepuss
Snowball - The Simpsons
Stimpy - The Ren and Stimpy Show
Sylvester
TC - Top Cat
The Baron and Muta - Whisper of the Heart and The Cat Reurns
Thomas Cat - Tom & Jerry
Thundercats
Tigger - Winnie the Pooh

Animated dogs we came up with
Astro - The Jetsons
Bimbo - Betty Boop
Brain - Inspector Gadget
Brian - Family Guy
Butch
CatDog
Churchill - nodding dog TV ads
Clifford - The Big Red Dog
Ein, corgi - Cowboy Bebop
Deputy Dawg
Dogtanian
Dougal - The Magic Roundabout
Droopy Dog
Fred Basset
Goofy
Gromit - Wallace & Gromit
Honest John, fox - Pinocchio
Hong Kong Fooey
Lady and Tramp etc - Lady and the Tramp
Ladybird - King of the Hill
Mr Peabody - The Rocky and Bullwinkle Show
Muttley - Wacky Races
Nana - Peter Pan
Napoleon, bloodhound - Aristocats
Pickles, guide dog - Creature Comforts
Pongo and Perdita etc - 101 Dalmations
Ren - chihuahua, The Ren & Stimpy Show
Rex the Runt
Robin Hood and Maid Marian, foxes - Robin Hood
Santa's Little Helper - Simpsons
Scooby-Doo
Sheriff - wolf, Robin Hood
Slinky Dog - Toy Story
Snoopy
Snowy, The Adventures of Tintin
Sparky - Stan's dog, South Park
Trixie - Creature Comforts
2 Stupid Dogs
The Black Dog (by Alison de Vere)
Wolves (Rama, Akela, Raksha) - The Jungle Book
Zero, The Nightmare Before Christmas

Animated birds we came up with
Alan-a-Dale, rooster - Robin Hood
Archimedes, Merlin's pet owl - The Sword in the Stone
Chicken Little
Daffy Duck
Donald Duck
Foghorn Leghorn
Ginger, Babs, Mac and Rocky - Chicken Run
Henery Hawk
Nigel, pelican - Finding Nemo
Pidgeotto - Pokémon
Pingu
Road-Runner
Tweety Pie
Vultures (Buzzie, Ziggy, Dizzy and Flaps) - The Jungle Book
Wheezy the Penguin - Toy Story 2
Wile E. Coyote
Woody Woodpecker

Animated elephants we came up with
Colonel Hathi - The Jungle Book
Dumbo

Animated bears we came up with
Baloo - The Jungle Book
Care Bears
Koda - Brother Bear
Little John - Robin Hood
Winnie the Pooh
Yogi Bear and Boo Boo
The Bear

Animated fish we came up with
Cleo, Geppetto's goldfish - Pinocchio
Flounder - The Little Mermaid*
Nemo, Marlin, Dory etc - Finding Nemo
Billy the Fish
Oscar, Angie etc - Shark Tale
Squidward Tentacles - octopus, SpongeBob SquarePants**
Shark Tale

*and Princess Ariel... if we're allowed to include mermaids

** we had included SpongeBob's best mate Patrick the pink starfish but Rhino told everyone that starfish aren't really fish as they are marine invertebrates belonging to the phylum Echinodermata, class Asteroidea