The Adventures of the American Rabbit (1986)

Rob Rabbit is a mild mannered rabbit with a great destiny. Whenever there is trouble, all he has to do is sprint to change into the star spangled superhero, the American Rabbit. Moving to the big city, he finds a job as a piano player in a nightclub that is harassed by a gang of jackals and their protection racket. Going on tour to raise money to oppose them, they are continually threatened by the gang. Against this, the American Rabbit must use all his power to protect them and stop the forces of evil.