Continuity mistake: When "Charlie" is first introduced to the class, she struts down the aisle in heels. When she follows Maverick into the building, you can briefly see that she is wearing flats to compensate for Maverick's short stature. (00:26:00 - 00:28:50)
Continuity mistake: When Jack Burton and the rest of the gang escape from the Wing Kong Trade Centre the first time, the guards fire at the left side of the bus breaking the windows and making holes in the bodywork. When we see the bus a few seconds later as it is driving away, it appears undamaged.
Continuity mistake: At the bar, while standing on the counter, Howard punches a guy with a hat on. Then he punches him again and the hat is gone, only to reappear in the close-up.
Continuity mistake: During the chase scene where they attach the "engine killer" remote to the Dodge M4S (aka Wraith's vehicle), 2 Chevy Malibu Cop cars are barreling up the road towards the racers. Once the cops pass the starting line, the cars are now Dodge cop cars. (00:44:25)
Continuity mistake: When Dennis's girlfriend goes to see him at the godfather's house, her car is seen parked directly in front of the house, where the godfather's car was just parked moments ago. (01:18:55)
Suggested correction: Well, yes and no, or rather "no and maybe." The godfather's car was parked far enough from the stairs for another car to park closer, between Pazzo's car and house. And it's what happens here. However I do think there could be a continuity issue with one of the exterior shots when Pazzo's car seems to have been moved quite a bit off position compared to before. The mistake could be there but not as big as it appears to be (I kinda find it hard to judge due to the angle by how much really the car is off position, even, since it's a significantly different one from before).
Continuity mistake: In the scene where he is fixing breakfast for his daughter, Robert Redford's shirt sleeves are down. When he goes to rescue the burning toast in the oven, his shirt sleeves are up and then they are down again. (00:15:00)