Continuity mistake: When Hugh Grant first goes underground and is interrogated by the "Mole" people, his arms are held behind his back and the hair on his forehead changes between shots. His hair appears combed back in several shots and some wisps hanging down in others. They alternate back and forth between shots.
Continuity mistake: Hugh Grant is in the emergency room stitching up a homeless guy that got stabbed in the leg, who is wearing a green jogging suit. He has extremely yellow teeth in that scene, however during the rest of the movie his teeth are perfectly white.
Continuity mistake: At the end as Grant and Guilfoyle starts walking down the stairs, a dark haired woman in light clothes starts hurrying up the stairs just before the change of shot. It then changes to a close-up shot off Grant and Guilfoyle, and they have barely moved a step, but the dark haired woman has reached the top of the stairs in an instant.