Continuity mistake: When Sam's spaceship points a ray gun at Bugs' home, you can see the elevator control box outside the home has nothing on it, but in the next shot there are now wires attached to the box.
Continuity mistake: When Robot ZX29B is coughing up the rubbish that Bugs fed into him, there are three trash cans behind him, but when Yosemite Sam sees the robot on his monitor, there is only one trash can behind him.
Continuity mistake: When Yosemite Sam sends out robot ZX29B to capture Bugs Bunny, the robot hides by some dustbins by the dump and you can see there are two dustbins by him. When Bugs empties his rubbish into the robot, the two dustbins have disappeared, and when robot ZX29B coughs up the rubbish in the next shot, they are back again.