Continuity mistake: Near the end of the movie, when Parker and Hunt are on the bus going to the contest, you'll see that Parker's hair is in waves. But when she arrives at the studio, her hair is VERY curly. Its not likely that she had time to change her hairstyle THAT drastically if she was pressed for time as she very clearly was.
Continuity mistake: When Charlie goes to jail he sits on the bed and bums a cigarette. Then the next morning he is lying on the bed and bums another cigarette. His bed changes heights in each shot. (01:30:50 - 01:31:25)
Continuity mistake: Everyone wears the same outfit during their hunt for Big Bird. Maria's changes to a dress once they arrive in Toadstool.