Continuity mistake: When the Tea Totaller is bowling against the Gas House Gorillas, the Gorillas are seen striking the ball with their baseball bats, but when we see the Gorillas in a conga line, there are no bats in sight.
Continuity mistake: When one of the Gas House Gorillas takes the plate umpire's place during the game, you can see that the fence behind him has nothing on top of it, but when he calls Bugs out, a net has appeared.
Continuity mistake: When Bugs jumps out of the taxi and catches a bus to take him to the Umpire State Building, he has a brown baseball glove on his left hand. When we see Bugs reading a newspaper on the bus, the baseball glove is missing.