Continuity mistake: When Bond's in the chair having his neck broken, between two shots the handles change position. Also, at one point we hear that the woman turns the handles a bit, but in the next shot they haven't moved.
Continuity mistake: When Bond shoots Renard in Kazakstan the bullet hits Renard's arm. Later when Renards is moving towards the elevator you can clearly see that his arm is undamaged.
Continuity mistake: In the warehouse sequence Bond is taking cover from gun fire and yells to Zukovsky and Christmas "Get Out!" while holding his Walther P99. A helicopter cuts though the building his in and he drops down to protect himself (he's in the same place) and he's holding another gun (possibly an UZI) Then a couple of scenes later 007 drops down on two bad guys and shoots them with his P99.
Continuity mistake: In Zuckovsky's casino, the barman is not visible in one shot when James Bond is disarming the guard.
Dr WilsonContinuity mistake: We see Pierce Brosnan taking off his jacket, but the colour of his shirt changes between shots from a blue colour to a lighter shade, then back again. (01:46:00)
Continuity mistake: At the end of the pursuit scene, the boat of the "cigar" girl stops on the bank of the Thames in front of the Millenium Dome. But it's completely in the water in one shot when Bond's boat passes over it, and it seems to be moored. (00:12:55)
Dr WilsonContinuity mistake: When Q shows the boat to Bond, it looks much more damaged than at the end of the pursuit scene, when it landed relatively gently in water. (00:20:35)
Dr WilsonContinuity mistake: When Bond gets his X-ray glasses for the first time, he puts them on and looks down at R. In the next shot, his head is up again.
Continuity mistake: When Bond puts on the x-ray specs while talking to "R", he glances downwards just after saying "improved specs?" The angle then changes to show R, and Bond's now looking straight ahead at him. (00:21:20)
Jon Sandys
Continuity mistake: When they're looking at the computer model of Renard's head (just after the doctor says "medulla oblongata"), count the pings. The first two times we hear one, a slight pause, then 3 close together, with corresponding green pointers on the image, then a higher pitched one on the green box. However, the third time (after "than any normal man") there's no initial ping with pause, just the 3 close together. Then just as we're expecting the higher one we cut to a shot of M, and we hear another middle beep before the final one. The sequence starts again, we cut back to the model in the middle of it, and we get an extra beep again, plus see that the beeps are now completely out of sync with bits of the model being illuminated. (00:25:50)
Jon Sandys
Continuity mistake: When they're loading the submarine, and Renard is being kissed, from behind his lips are pushed forward, but when we see his face he's trying to pull back.