Continuity mistake: In the scene where Fletcher is in his office and he's trying to write that the pen isn't blue, he swipes everything from his desk and there's then an overhead shot showing the only thing left on his desk is a small piece of white paper on the right hand side. A few seconds later the piece of paper has disappeared and has instead been replaced by what looks like a drinking straw.
Continuity mistake: When Fletcher moves underneath the wing of the plane on his flight of stairs, another plane is seen in front of him. It disappears when the pilot sees the shoe land on the windscreen. There is also no sign of the barrier and luggage area that he crashes into a few seconds later. (01:14:50)
Continuity mistake: Towards the end, Fletcher is on the stretcher talking to Max, and looks at his watch to discover he has been able to lie for half an hour. Max then responds "So you lied?". Fletcher then grabs Max's shoulder with his left hand, saying "No! It was the truth!". As the angle changes he is still speaking, but his left hand is now lying across his chest before he reaches out to grab Max again.
Continuity mistake: Just after Fletcher steals the yellow airfreshener from the car yard, he has his arms by his side. When the shot switches back to him, he has his arm on the counter. Considering that he was watching his car in such a shocked state, it's incredibly unlikely he would change to this position. (00:34:40)
Continuity mistake: Just before Fletcher steers his flight of stairs under the wing of the plane, there is a shot taken from underneath the wing of the plane and you can tell by looking at the runway markings that the plane is suddenly barely moving, it appears to be moving about 5 miles per hour compared to about 30 miles per hour in previous shots. (01:14:50)
Continuity mistake: When the Boeing 747-200B initially taxis out from the gate, the flaps are set for take-off. After the stairs get hijacked, the remaining shots show the plane with the flaps retracted.
Continuity mistake: When Fletcher phones Audrey on her car phone, there is a shot of her Jeep rounding a corner on a residential street as she is on her way to drop Max off at school. After she does, Fletcher phones back again, but Audrey passes the exact same corner and houses when the phone rings, even though she would be heading in the opposite direction.
Continuity mistake: In the scene were Max is on the phone with his dad and his mom is in background at the sink, she picks up a glass and puts in the sink. Then you see Max again, then his mom puts the same glass in the sink again.