Continuity mistake: In the wide-angle shots of the blue Willys (Jeep) wagon, the windshield is a 2-piece version with a vertical divider in the middle. The close-up shots don't have the divider.
Continuity mistake: When Princess Dala is drunk on the tiger rug, her champagne glass jumps from her right hand to her left just after she says "tally ho .... no more virgin queen".
Continuity mistake: Rex takes off in the experimental glider, which detaches its wheels onto the runway as soon as it's airborne. When the camera angle changes, the plane is still at the same height, but the dropped wheel assembly has disappeared from the tarmac. (00:23:00)