Deliberate mistake: When we first encounter Tilly Masterson, she overtakes Bond and he decides not to pursue her. Then, when Goldfinger has stopped, Bond is actually ahead of her as she nearly hits him with a rifle shot. Given that most Swiss passes are single carriageways, surely Bond would have noticed her had she parked earlier.
Deliberate mistake: When Bond is getting chased by Goldfinger's gangsters, he sees a car's headlights coming straight at him (which is later revealed as a mirror reflecting his own headlights). To save his life, he crashes into a nearby wall. In some versions of the movie, his car only goes in part way, while in older versions, his car goes all the way through the wall. The filmmakers must have changed this so the scene following that, which has Oddjob opening the door and revealing Bond unconscious, could work.
Deliberate mistake: Goldfinger has imprisoned Bond in a jail cell guarded by an Asian. Bond draws the Asian into the cell by smiling through the small barred prison door window and then slowly sinking out of sight. When the Asian enters the cell, Bond drops on him from above. While it is physically possible for Bond to work his way up the walls into that position, he could not do it in the time elapsed nor could he do it without passing his body in front of the small barred window (which would be seen by the Asian guard).
Deliberate mistake: When Bond interferes with Goldfinger's cheating at cards in Miami Beach, we are watching the shot in which Goldfinger snaps his pencil and hits the table with his fist through binoculars from Bond's position far away on the hotel balcony. The sound of Goldfinger's actions are audible making the scene more effective. However, Bond and therefore the viewer wouldn't actually be able to hear it.