Continuity mistake: During the pre-credits sequence, Bond pulls the ripcords on the parachutes of the two guards who are in the truck with him and the guard on the right is holding a rifle in his right hand, but when he is flying in the air in the next shot, the rifle has gone.
Continuity mistake: When Bond is fighting Gobinda on the roof of the train carriage, Grischka appears and you can see from behind he puts his left hand on the roof, but when the camera angle changes in the next shot, Grischka now has his right hand on the roof.
Continuity mistake: Bond arrives in West Berlin to travel to Karl-Marx-Stadt. The Mercedes stops just before Checkpoint Charlie and the other guy gets out of the car. One can see the license plate - which appears to be genuine German (DIN font and spacing etc). When the "same" car later arrives at the Circus the plates are obviously props. The font is off and the plates are obviously fake.
Continuity mistake: When Bond is beside the train going through the station there is nothing on the left, but as the train leaves a platform has appeared, and an engine shed and a brick bridge This was filmed back at the main station because of the double track set up.
Continuity mistake: When the train passes the signal box and the points get changed you can see the train in in the background and it is halfway past the station. When the Mercedes passes the train, it's still halfway past the station, and when the Mercedes catches it up again it's no further along. The train is moving at a constant speed the whole time.
Continuity mistake: When Bond asks for the jet's tank to be filled, his cockpit swaps from closed to open between shots.
Continuity mistake: When Bond is pinned to the wooden door by the knives we see each knife cut his shirt, trapping him to the door, but when he opens the door and grabs the knife with his left hand, his left arm is now completely free, with no holes or rips on his sleeve.