When Andy is dancing with Francesca for the first time at the outdoor bar/restaurant, her sunglasses at one point are almost completely falling off the back of her head; when the shot moves to close up, they are back on the top of her head.
When Andy's car gets stuck in thick black mud, he knocks Harry down. But when Harry arrives home, he has only a minor orange stain on one knee.
When Marta says Harry is a terror, his dialogue (from behind) doesn't match his face.
In the high level intelligence briefing scene, the ribbons on General Dusenbaker's (Dylan Baker) uniform are displayed incorrectly.
When Harry the tailor visits the president for a fitting, the president is a man. But during the transfer of the Panama Canal in 1999 to 2004, the president of Panama was Mireya Moscoso - a woman.
When Harry chases Andy, he distinctly presses the center of the steering wheel to honk his horn. But he's driving a Land Rover Discovery Series II, which uses 2 horn buttons on the spokes of the wheel; the center is the airbag, and pressing it has no effect.
When the salsa band is first seen playing on the waterfront, a man is singing, but none of the male band members' mouths is moving.
Savile Row, a street famous for its tailoring establishments in central London and mentioned many times in the film, is misspelled "Saville" on the computer screen that Osnard scans on the flight.
Harry the tailor mispronounces a common term of his trade, "worsted." He pronounces it phonetically, but at least in British English it is correctly pronounced "woosted" with the "oo" as in "good."