Plot hole: While Mundy is trying to disarm the briefcase bomb in the study, his time-sensitive work is interrupted no less than 6 times by people barging in from the party out front. The plot device adds comic relief, but there's no earthly reason why he couldn't have locked or barricaded the door in the first place. (00:36:00)
It Takes a Thief (1968)
1 plot hole in season 2 - chronological order
Starring: Robert Wagner, Malachi Throne
A Thief is a Thief (a.k.a. Magnificent Thief) - S1-E1
Continuity mistake: When Mundy and Claire are sitting in the car outside the apartment building, the rear view mirror has disappeared (probably removed to prevent it from obscuring the actors' faces). It mysteriously reappears later on. (00:42:45)
Noah Bain: Oh, uh, look, Al, I'm not asking you to spy. I'm just asking you to steal.
Alexander Mundy: Let me get this straight: you want me to steal?