Continuity mistake: When Bond finally meets Blofeld, there are shots on Bond and others on Blofeld. Blofeld's cat is seen in all of this, at times looking at Bond and then in the next shot looking at Blofeld. Quick reflexes those cats.
Continuity mistake: When Blofeld is in the volcano control room, and the scene keeps changing from him to the main crater, the position of the cat in his arms is never the same twice. Sometimes both paws are in, sometimes both out, sometimes one of each etc.
Continuity mistake: When Bond and Kissy are on the slopes of the volcano near the end of the film, they watch a hellicopter fly overhead and go down inside. It lands on a helipad. In the next shot from above (when the massive door is closing) the helipad is empty.
Continuity mistake: After expending one of his exploding cigarettes to cause a commotion, Bond throws a switch to open the crater door; we see two shots of it opening from below. However, in the very next shot where Tiger and his ninjas are clambering on top of the door, it is not shown moving beneath them at all (this can be seen because of the proximity of the rocks next to the fake water). (01:44:10)
Revealing mistake: At the beginning of the film during Bond's "funeral", the shot cuts to a man watching the funeral from a boat through a pair of binoculars. The camera then moves to the newspaper next to him showing an "article" reporting Bond's murder. If you look closely at the "article" itself, you can see it was actually pasted onto the actual local newspaper. They probably bought a local newspaper and pasted the fake article over it to make it look authentic.
Continuity mistake: When Hans pulls the bone from the water with the piranhas - in the first clip, from the way the string moves you can see that the bone must have cleared the water. But in the next clip it is still below the water.
Revealing mistake: When one of the ninjas places an explosive charge on the bottom of the fake crater lake roof it wobbles and can be seen its made of plastic - even though Bond earlier said it was metal.
Audio problem: When the Sumo wrestler gives Bond his ticket he says, 'This is your ticket', but his lips don't move.
Continuity mistake: Towards the end of the film when the ninjas are coming down the ropes to storm the volcano base, you can clearly see one coming down who has bullet holes riddled in his back - but is still alive.
Character mistake: While one of the Soviet mission controllers does speak with a native-sounding level of Russian, the other controllers and the cosmonauts sound obnoxious at times; strange anglicisms or outright English words are sprinkled into the script, such as the word "pressure" in the middle of an otherwise Russian sentence, not to mention the many grammatical errors.
Continuity mistake: When Bond is about to climb in the raft his hair is soaking wet and brushed forward. When he is inside it's nicely brushed to the right.
Revealing mistake: When the movie ends and Bond swims towards the raft together with the rest of the baddies, he is very obviously not Sean Connery but his stunt.

Revealing mistake: The volcano erupting is an obvious composite of at least two images: an explosion on a mountain and lava flowing. The cut-out footage of the lava is blatantly evident for one can see the outline of the pasted film, which has a lighter colour than the mountain's.
Revealing mistake: When the volcano erupts, the lava (a superimposed image) is flowing frame by frame as a stop-motion film as opposed to the explosion.
Continuity mistake: Bond grabs Kissy's both arms to help her climb inside the raft. Shot changes and he's just grabbing one arm.

Revealing mistake: When Bond starts flying the Nelly there's a close-up of him where a thick white outline appears around revealing his body has been cut-out and pasted on the flying footage. Problem is... his arm was erased. One might think it's an optical illusion caused by the visor but you can actually see the mountain right where his arm is supposed to be.

Revealing mistake: When the last helicopter explodes, in the close-up one can see it's empty.

Revealing mistake: When Bond destroys the two helicopters there are two thin wires above running along the screen, seemingly where they hung the scale models from.
Revealing mistake: You can see ropes lowering the rocket when landing.