Continuity mistake: In the climactic chase scene, when Murphy is shot through the window, he is shot in his right arm and there is a hole in the window with blood on it. When he does a 360 degree loop in the helicopter the broken window and blood appears on his left sidethe opposite window to that which he was shot through.
Continuity mistake: As the Chevrolet Vega arrives at the TV studio, the roof is shown to have sustained significant damage, as if something huge has fallen on it. The right headlamp area is also smashed and the light gone. But at no time in the chase does anything occur to cause any of this damage.