Continuity mistake: In the scene after the prison break, we see Richards, Weiss and Laughlin walking through the city. On the big television screen there is a commercial for The Running Man game show. The footage they feature on the commercial is footage from the episode Richards is in. How could they show footage from that episode if it has not taken place yet?
Continuity mistake: In the fight scene where Arnold is fighting the hockey goalie, he gets cut on barbed wire and leaves a bloody tear on the chest of his fancy spandex bodysuit. In the very next scene the suit is clean and the rip is gone.
Continuity mistake: The film opens with Arnie in a helicopter, refusing to fire on "helpless people." At the film's climax, when the (undoctored) film of this event is screened, it is changed to "helpless human beings."
Continuity mistake: In the scene with Buzzsaw, after Richards ties the rope around a metal spike, Buzzsaw flies off his bike and lands face down. When Richards approaches Buzzsaw, he is still face down. Then when Richards starts to reach down to grab the chainsaw, Buzzsaw's arm comes up to choke Richards and he is now lying on his back. Richards would have reacted quicker, since Buzzsaw would have had to flip over on his back to grab Richards.
Continuity mistake: When people are walking into the building before you see where Amber lives, she is wearing her white robe and watches the news report that Richards shot the people at the airport at 'point blank range'. She says, "But that's not true!" and you can see Richards walking into the building wearing his work clothes at the bottom left corner. That scene had already been seen when Richards went to find his brother Edward, who lived in Amber's room previously. (00:27:53)
Continuity mistake: When Killian is looking through the computer for the next contestant, the last person they show is Mackenzie Spike. We see his personal info (occupation, hobbies, eye color, resident), the numbers pop up, and then it shows a completely different set of personal info (despite being the same guy with the same prisoner number).
Continuity mistake: When Buzzsaw runs by Richards, cutting the pipe in half, he has the chainsaw on his left hand. The camera watches Buzzsaw turn around, and you don't see the chainsaw, as the rider's left hand is on the handlebar, controlling the turn. The camera cuts to Richards for a second, then back, and the saw is on Buzzsaw's hand again.