Visible crew/equipment: When you are watching the Chief fly the plane and Max wants to get out, if you look on the ground you can see that the actual freeway/highway is blocked off by a police car with detour signs or cones on the bottom right side. (01:32:35)
Continuity mistake: When Max talks to the bakery clerk, the plate of rolls on the counter moves, depending on the shot. (00:57:20)
Maxwell Smart: Are you thinking what I'm thinking?
The Chief: I don't know. Were you thinking "Holy shit, holy shit! A swordfish almost went through my head"? If so, yes.
Trivia: In the scene in which Max drives the convertible out of the museum, all three cars shown - the red Sunbeam Tiger from the museum, the gold Opel GT driven by Bernie Kopell, and the blue VW Karmann Ghia convertible - were all cars driven by Maxwell Smart in the original series.