Continuity mistake: When Remo swings out on the pipe at the Statue Of Liberty, in the close-ups, his fingers are in the top of the pipe holding on. In the far away shots, he is holding on around the coupling about 1/2 foot down from the top of the pipe.
Continuity mistake: At the beginning when Remo steals the ambulance, Mcready tells him to turn left. Remo makes the hand movements to turn left on the steering wheel, yet the wheel doesn't move.
Visible crew/equipment: During Remo's training scene where he is going up the obstacle course. When he jumps from the paint can to the next step, the harness assembly preventing him from falling is visible above his head.