"Funny bear" is meaningless in French.
If you need to keep the same question, here is my best suggestion:
Comment on appelle un ours sans dents ?
Un bisounours
Bisounours is the French name fro "Care Bears". It is built from bisous (kisses) and ours (bear). The idea is that a teethless bear doesn't bite so would kiss.
The word bisounours is commonly used in the expression un monde de bisounours that describes a imaginary word where everyone is very sweet, good-natured, far from the real one...
It happens that bisounours clashes with a slang Québécois word so that would be un calinours (same idea: câlins means cuddles) in Québec.