Well-known animals

Jambo the gorilla who protected a little boy who fell into his enclosure.

Bimbo, Corky's pet elephant in Circus Boy

Oh I've just thought of a beauty! Clarence the cross eyed lion! Was the programme called Daktari?

It was Daktari. I had a stuffed lion called Clarence, given to me by DH.

Hercules, the bear.

Fanny the wonder dog, who belonged to Julian Clary.

Thanks Marydoll

Am I allowed Nellie the elephant

Shnorbitz? No idea whatsoever how it was spelt!

Was that that huge dog that Bernie Winters had MissA?

Yes that's the one. I had no idea I knew so many animals!
I wasn't a Bernie Winters fan.

Who was?

Lassie the film star dog

No one's mentioned Judy, the chimp from Daktari yet.

Paul the octopus (world cup 2010 predictions)

Champion the Wonder horse

Trigger ( Roy Roger's horse)
Silver ( Lone Ranger's horse )
Scout ( Tonto's horse)

Finn the police dog, someone has just written a book about him.

Lonesome George (tortoise) found on the Galapagos

Oh are we now including fictitious animals after all? In that case....

Old Yeller (dog)

The OP says no fictitious animals, but if we are including them, that will give us much more scope.

Freda the Blue Peter tortoise.

Dougal the dog on the Magic Roundabout..

An An, giant panda who wouldn’t mate with Chi Chi

Wellard, dog on Eastenders

Elsa the lion.