Continuity mistake: During the Benny Goodman "All The Cats Join In" segment, a teenaged girl gets out of the shower and hops into her underpants and skirt. Suddenly her feet are clad in white socks which were not there before.
Continuity mistake: When Bugs begins his performance, he takes a carrot from the far end of the piano, takes a bite out of it and puts it back. When we see Bugs performing a couple of shots later, the carrot has disappeared.