Continuity mistake: When Cliff is being chased by the mobsters in the fancy restaurant, he escapes by flying through a stained glass dome directly above the dance floor. Two mobsters below aim up at him and start firing as he crashes through the dome, but no glass showers down on them.
Continuity mistake: When Cliff and Peevey first test the rocket pack by strapping it to a statue, the statue skids across the ground and crashes into a small mound of dirt on the otherwise completely flat field. But when they run over to collect the pack, the mound is gone and the statue is lying in a crater, as if it had hit the ground from a much steeper angle.
Continuity mistake: When he first flies the GeeBee, the joystick changes colors in the different scenes.
Continuity mistake: When Cliff first puts the Rocket on to save Malcolm, he doesn't do his helmet strap up. When they walk outside, just before Cliff takes off he turns back round to Peabody and his strap is done up.
Continuity mistake: When Neville Sinclair walks Jenny to the dance floor, the bandstand is empty. When we next see it, about 25 seconds later, all the band members are back. (01:01:53)