When Bond is taken to a locker room by Draco's men they pass a janitor who is whistling a very distinct tune, the tune is Goldfinger, the third official Bond film tune. See more...
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Continuity: When Tracy and Bond are talking in the casino, and Bond tells her to stay on 5, she has her left hand resting against her chin. As she says "people who want to stay alive play it safe" she moves her hand down to the table, but then when the camera cuts back to Bond the reverse shot of her shows her hand still by her chin, and then she moves it down again.
Other: As the assault on Piz Gloria begins and the helicopters approach the facility, on the right of the screen one seems to be hovering near the helipad as another passes behind it. The helicopter in front fades to a slightly different position as the one passing it disappears and reappears several meters ahead. On the left of the screen the third helicopter appears out of thin air. (This was obviously caused by a dissolve effect, but since the sound effects are constant there doesn't seem to be any indication that a visible edit or time shift was intended for this scene, so it's a mistake).
Continuity: When Bond and Che are fighting, Che knocks out one of the white wooden bars behind Bond. However, in the next shot, two bars are missing on the upper half of the wooden structure, one on the bottom half. Seconds later, just before Bond throws Che into it, the bottom half of the structure is complete again, and only one bar is missing on the upper half.