Perhaps it was 'Santo Bugito' or 'Erky Perky' .
Actually I was wrong, it was three bugs and a cat: Oggy and the cochroaches.
Jokemans
"Hillbilly Hare" .
Roger Rabbit and Bugs Bunny.
Bugs Bunny
Bugs Bunny
"Hot Cross Bunny", my friend.
Louis and François (. . . from the 'French Rarebit' Bugs Bunny cartoon) .
The cartoon character of Bugs Bunny is the better known of the two . Bugs is recognized internationally .
Bugs Bunny, Beavis and Butthead. batman
If you are referring to the turtle who beat Bugs Bunny in a race as seen in the cartoon "Tortoise Beats Hare" then yes the turtle has a name - Cecil Turtle .
Bobalouie (Yogi Bears sidekick)
"Super-Rabbit" ; below is a link to the cartoon .