Continuity mistake: When Spartan and Huxley arrive at the cryogenics place to battle Phoenix and what remains of his gang, Phoenix sees them on the monitor walking into the building and you see Spartan on the left and Huxley on the right. The camera angle changes to an inside view and Spartan is now on the right.
Continuity mistake: When John Spartan is frozen in the cryochamber, at the beginning of the movie, if you watch during the credits - while the time is going by the small circular monitor that is on his chest, it changes from the left side to the right side of his chest in almost every shot.
Continuity mistake: When Phoenix first gets out he makes his way to a computer and the police come to arrest him. Phoenix takes one of the policeman and pushes his head through the side glass pane and walks away to fight the other officers, but when Phoenix goes back over to the computer the glass is not broken.
Continuity mistake: When the Cryo-Prison worker opens the cabinet that holds the cylinders that contain the blue "freezing balls" to freeze Spartan's slush, the slot on the center left is empty. When the shot changes to the worker pulling the cylinder out, the slot to the lower left is now the empty one.