Continuity mistake: When Bond escapes from the Willard Whyte facility in the desert in the moon buggy, a car that is chasing him goes over a ridge and turns on its side as the buggy speeds by. A wheel rolls back into the shot, all on its own. It doesn't belong to the car, or the three three wheelers also chasing, but looks like it belongs to the buggy, which has its full compliment of wheels all through the scene.
Continuity 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 an 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!), which is in the finished film].
Continuity mistake: After fighting off Bambi and Thumper and dunking the girls in the swimming pool, Bond is dripping wet. A few shots later when Bond and the men walk down the stairs to the door, Bond is bone dry. Then when he walks into the room, he is all wet again.
Continuity mistake: In the opening sequence when Bond runs over and pulls the chain to release mud onto the guy rising up to shoot him, mud clearly splatters all over him as he dives to the floor. When he gets up, his suit is spotless.
Continuity mistake: When the car chase enters a car park there is a blue car in the bottom left corner (from the overhead shot), next to the trailer which Bond makes his escape over. After Bond escapes the car is white (I think) and may also be pointing the opposite direction.
Continuity mistake: In the battle scene on the oil rig, Bond takes takes control of the crane attached to Blofeld's bathosub. During this sequence the folding window at the front of the crane cab switches between the raised and lowered position several times. (01:47:53)
Continuity mistake: At one part Bond is talking on the phone. He is wearing a pink tie that goes to the second button on his shirt. Then in the next scene before he meets up with Thumper, his tie is longer.
Continuity mistake: When Bond releases the red weather balloon from the oil rig and it is spotted by the guys in the helicopter you can see a desert/land background behind the helicopter despite it supposedly flying over the sea close to the oil rig.
Continuity mistake: At the end of the film, when Ms. Case is on Blofeld's oil rig in the control room, her butt crack is seen at the top of her bikini. A shot later, it is hidden.
Continuity mistake: When Bond arrives at Tiffany's home in Amsterdam, he rings her doorbell. It's shown that she's living on the 4th floor (T. Case), but through the speaker-system she tells Bond to come upstairs to the 3rd floor.
Continuity mistake: When Mr. Kidd tries to kill James with the flaming shish-kabobs he is wearing gloves, which weren't there immediatly before.
Continuity mistake: As the oil rig is attacked, a large chopper and a small one are blown to bits. There were only two large ones but the one that was blown up briefly reappears as the choppers do a U-turn.
Continuity mistake: When Tiffany Case takes Bond's drink to put ice in it and check his fingerprints, when she gives Bond the drink back it has no ice when he smells the chemical on the glass.