Continuity mistake: When Riggs is talking to Agent Palmer about being hungry, he's holding one red folder. When he asks if she was going to eat, he sets the folder down. In the next shot, he's holding a folder again.
Continuity mistake: When James is taking pictures from a car as men are entering a hotel, in the shots of him head on he is using a Canon EOS camera with a 70-200mm white lens. In shots from the side he is using a Nikon camera with an older Nikon lens. (00:27:35)
O Hostage! My Hostage! - S1-E11
Continuity mistake: About 1/3 through the episode, Captain Cole is held hostage. As her captor lists his requirements, his hand switches positions between her shoulder and her elbow depending on the shot.
Continuity mistake: After Rackham enters the room and tells Cage to step away, Cage starts to walk to the door and Rackham is standing there with his arms crossed. In the next shot, his hands are down by his side.
Continuity mistake: When Sara rejoins the crew at the end of the episode, Nate lifts his left hand to his face and hollers. In the next shot, he has his right hand to his face instead. (00:40:25)
Continuity mistake: When Dmitri and the doctor first try to get Vanessa to feed on human blood, the blood bag keeps switching from full to half-empty from one shot to the next. (00:16:05)
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)
Continuity mistake: Archer is at various times described as chief superintendent (a rank which wasn't introduced until 1949), superintendent and inspector. Nobody, including him, seems to know what his actual rank is.
Continuity mistake: When Will tackles Andrew, his shirt is lifted up exposing a blue undershirt that's tucked in, which is also behind his gun. There's two shots of this, but in the next shot, right before Will punches Andrew, we don't see the undershirt.
Continuity mistake: Harry drives away from a crime scene and his rear numberplate is visible as D703 VAN. We then see Harry in his car from the front, and the numberplate has changed to E160 HLT. (00:21:18 - 00:22:31)
Continuity mistake: When Bob Lee and Isaac are in the firefight in the office building, the bullet holes in the walls change position or disappear.