Visible crew/equipment: When Stryker puts the time bomb on Rock (the computer) it shows a close up. If you look to the panel on the left, you can see a cameraman's head.
Continuity mistake: In Mission Control, a boy thinks one of the screens is a video game. The plane graphic on screen starts spinning some time before the boy messes with the controls.
Revealing mistake: At one point during the scene in the mental hospital when the doctor is talking to Stryker, a nurse in the background is inserting a tube into a patient's mouth, but if you look closely, you can see a separate funnel where the tube is actually going.
Revealing mistake: When the reverend tells everyone that it's very likely they're all going to die, everyone starts a fight. During that fight a bald man with a purple tie and a white shirt can be seen punching a man on the row in front of him. Every time he punches him, the punch misses the man but he still reacts to it.
Revealing mistake: When Striker tells McCroskey that he is in the cockpit, McCroskey repeats the name many times and turns to the man behind him saying "Striker" one last time. The man then thinks he said "strike her", so he strikes the woman next to him. You can see the strike misses the woman but she still reacts to it and you can still hear it.
Revealing mistake: The 'solid fuel' hatch on the shuttle is not burning the coal. The gas jets can just be seen at the bottom of the hatch, and the fire nearly goes out as the shovel blocks the gas.