Continuity mistake: At the lagoon, after Price and Brown win the cup and the hook falls, Paul is suddenly replaced with a completely different kid, older and much taller.
Deliberate mistake: The famous car chase ends with Bond's car tipping up on its right wheels to fit through a pedestrian path. However, when it emerges the other side, it's tipped on its left wheels. When the car enters the alley, this was filmed in a studio. When the car exits the alley, this was filmed in Vegas. The first few times the exit was filmed, the car emerged on the correct wheels, but the shots were unusable because of the crowds in the background watching the filming. This shot was temporarily abandoned and eventually re-filmed with a different stunt driver who famously performed the stunt on the wrong wheels. Realising this, the producers filmed a somewhat clunky insert shot featuring a close-up of Sean Connery and Jill St John, which shows the car tip back onto four wheels and then up onto the opposite two wheels, even though the alleyway would be too narrow to manage this.