Audio problem: When Vader is talking to an Imperial officer in the hangar in the Death Star, when the officer says, "It must be a decoy, sir. Several of the escape pods have been jettisoned." his head is shown from behind, but his profile shows his mouth is moving before the words are heard. (01:03:55)
Audio problem: After Bond sets the timer on the bomb at the end, the ticks don't add up. There's a definite tick each second, and you can count 12 of them after he starts it, then we cut back to the bomb and only 7 seconds have passed. (As a vague trivia aside, coincidence though it is, on the UK DVD he pulls the pin out at the DVD second timer ticks onto "07").
Audio problem: Just before Toby closes his bedroom door while Roy and Ronnie are arguing, if you listen carefully you can faintly hear director Steven Spielberg telling him to close the door. (01:05:00)
Audio problem: In a wide view of the mice singing "Rescue Aid Society" at the United Nations, a mouse is hitting his drum with a drumstick, but no sounds are coming out of it.