A troupe of tiny bandits, challenged with the task of patching up the handiwork of a Supreme Being who was forced into creating the world in only 6 days, instead steal the priceless map of the universe. Accompanied by an English school boy (Warnock), they are swept away on a whirlwind adventure through time and space, encountering bizarre incarnations of Napoelon (Holm), Robinhood (Cleese), Agamemnon (Connery), and others.

A courageous velveteen rabbit with dreams of becoming a real rabbit someday helps a young boy to win the affections of his strict grandmother and unapproachable father.