Continuity mistake: When confronted by Siegfried in the restaurant, the position of Siegfried's gun compared to Max's head changes constantly between shots with no time to move.
Continuity mistake: At the car wash, the KAOS man drives his car in and there are two people in it for some reason, but when he gets out, he's the only one there.
Continuity mistake: During one scene in the fake plane going off, a KAOS thug standing in the background has a shadow that magically moves between shots.
Continuity mistake: In one shot, both Max and the guy holding him at gunpoint are covered in soap suds, but the next shot shows that only Max is covered.
Maxwell Smart, Private Eye - S3-E5
Continuity mistake: At one point in the chase, the black car goes past a corner too fast and backs up so they can go through the street. When the random guy hails the taxi, the black car is reversing again in the background.
Witness for the Persecution - S3-E3
Continuity mistake: In this episode Max claims a fear of lightning. But in many other episodes, he's very close to lightning, and he's fine.
Viva Smart - S3-E2
Continuity mistake: When Max cuts the hole in the wall, the shot shows that behind the prison wall is another wall. When the group climb out of the hole, they are in a big deserted area with no sign of a wall.
Continuity mistake: When Max challenges the Shark to a game of pool, Max's hand holding his cigarette jumps to the tip of his pool cue, and a chalking cube appears in his hand from nowhere. (00:19:00)
Continuity mistake: Max is going to pour tequila in Valdez's glass. The camera closes up to show Max picking up a bottle with a candle on it. The candle falls into the glass. When the camera angle changes to show Valdez and Max, the candle is gone.