Continuity mistake: When Alice and Adam get in the cab outside the bookshop, the number on the back of the taxi is 90167, there are no other markings on the back and the Y on the number plate has a long stalk. When they're pulling away from some traffic lights later, the number has changed to '14290', there are the words "fairaway 95" on the back and the 'Y' has a small stalk. Note that, since the number plate (K651EYW) stays the same, for at least one of the shots they were driving a car around London with the wrong plates on. (00:08:30 - 00:09:25)
Visible crew/equipment: When Picard, Data and Worf are on the planet, just a few shots after they leave the shuttle, Picard drives a sharp left curve. If you look at him in this shot, it is not Patrick Stewart sitting on the driver's seat, but his stuntman, who is not even wearing goggles. (00:12:45)
Revealing mistake: In the scene where Jack Ryan uses the radio after the helicopter crash, the film is reversed - the word frequency appears as a mirror image.
Continuity mistake: When Xander stops Viktor to inquire about Kiril's coat-sniffing habits, a bowling ball appears literally out of nowhere between Jan Filipenský's hands between shots. (00:56:00)