Continuity mistake: When Jake and Link are watching TV Jake is lying on top of the settee. Link says hi to Jake and the camera switches from Link to Frank. In the next shot Frank sits down and Jake is gone. He had no time to move.
Continuity mistake: In the helicopter evacuation scene, Fred Berry hangs on to the skid, then Sandy Duncan climbs down and clings to his back. Berry lets go and they land in Jake's airplane cockpit, and suddenly she's in his lap. I have no idea how Duncan managed to maneuver herself in front of Berry during the drop, especially in such a short distance.
Revealing mistake: Sandy Duncan is not married in the film, but Duncan's real wedding ring can be seen on her finger.
Revealing mistake: When Jake reactivates the old biplane at Daley's Airport and Wilson mounts it as it takes off to pursue Olympus, you can see the wires from which the skeletal plane is hanging. (01:29:20)
Factual error: Jake takes a huge piece of gold and condenses it down into a small strip. It is then lifted with no difficulty. For the science of the film to work, this would have to be done without losing any of the gold's mass, or they could just get a small piece. As of such, the condensed gold would be just as heavy, if not heavier than in its original form.
Revealing mistake: When Frank and Jake go into the hangar to get diagnostics on Jake's ship, Frank is asked to go to the top of the craft to input a number using an intercog. When Frank begins to fly around the hangar you can see the wires that are suspending him.