Deliberate mistake: When Tiff (as a doll) lights her Zippo you don't see her clicking the flint, even though one can hear a 'clicking' sound. (00:33:35)
Deliberate mistake: The drug smuggler's boat is moving ahead quickly when they are shooting at the repaired plane. But when the shell returns to earth, the boat is stationary.
Deliberate mistake: Before the two shuttles dock to the MIR station, Lev initiates a rotation to simulate gravity. The shuttles then dock with their side hatch pointing to the anchorage. As the gravity is pointing away from the centre of revolution and the station is revolving around its main corridor, the gravity would push the astronauts back in to the shuttle and not towards the floor of the gangways leading to the shuttle or towards the floor of the shuttle. Also, the artificial gravity would be reduced to almost nothing at the main corridor. But here the artificial gravity somehow points down in every part of the station, and appears to work equally well throughout the station. (01:09:40)
Deliberate mistake: The man kissing Cameron Diaz in that last shot (when the homeless guy shoots the drummer) is not Ben Stiller, noticeable by his much taller, slender figure. (01:52:40)
Deliberate mistake: During Alejandro and Elena's duel, he slashes her skirt and reveals her bare leg. When he slashes off her whole gown, she's somehow wearing leggings. Obviously so Catherine Zeta-Jones would not be naked. (01:38:13 - 01:39:20)
Deliberate mistake: While Laurence is driving to the park trying to find Martha there are closeups of his car en route, and one of the closeups of the front left side of his car is a flipped shot, note the backwards "Saab" and the surface damage which is actually at the right side of his car. (00:56:00)