Continuity mistake: When Peter visits his dying father in hospital, in one shot the father's oxygen mask is very obviously upside down. In the next shot, it is correctly positioned on his face. (00:49:00 - 00:50:00)
Continuity mistake: The paint stripe that Michael puts on Peter's Bentley changes from the time he paints it to when it is towed away. Most noticeable are the ends which have been smoothed out, rather than being jagged.
Continuity mistake: When Anne and Peter are fighting in the bedroom, he says "I still love you" and she hits him, resulting in his tie coming up to his shoulder. In the first two shots it is still up there, but in the brief third shot it is down and then it stays up for the rest of the scene.
Continuity mistake: When Peter is on "The Pink Panther" set for the first time, the fake snow on the top of his head alternates between shots.