Continuity mistake: When Jack and MacGyver jump out of the window, after they land the fire extinguisher by MacGyver keeps changing position from in his arm to on the ground.
Continuity mistake: When they get to the warehouse the door to the van closes, the shot changes it closes again.
Packing Peanuts + Fire - S2-E8
Continuity mistake: In the opening scene, Bozer and Leanna are running and come to a locked gate. Bozer finds a hole in the fence and they go through. As they continue running the gate is now open.
Fence + Suitcase + Americium-241 - S3-E12
Continuity mistake: In the first scene a pot on the stove has boiled over, spilling down the sides. In the next scene, the pot is about 3/4 inches from the top with no spillage. In the succeeding scene, it is once again overflowed and spilling down the sides. (00:03:05)
Diamond + Quake + Carbon + Comms + Tower - S5-E10
Continuity mistake: MacGyver is running in Mexico City and runs into a car with driver coming down the road. When he gets up, the car is parked and no-one is inside. It is the same car with the same license plate. (00:10:10)
