Continuity mistake: When Crow, Servo, and Mike are using the Interoceter, Servo gets zapped in the head a few times. One of the times, there is about a two second delay from when the animated laser hits him to when his head sparkles.
Continuity mistake: When Mike is using the manipulator arm, Manos, to pry the Hubble loose from the Satellite of Love, he wipes sweat off his brow. This causes the arm to peel a hole in the Hubble. If the arm was matching his movements, it would have turned the hand, and not peel open the hull.
Continuity mistake: When Mike and the Bots first contact alien Benkitnorf, he's just getting out of the shower in order to go meet his friends, so he cuts the transmission short. So why, 20 minutes later, is he still in the shower for the movie's ending?