Continuity: Disappearing cigarette when the Princess collapses drunk on the rug.
Incorrectly regarded as goofs: At the start of his first visit with the Princess, Sir Charles Lytton is using his cane on the left. Within minutes, he's switched it to his right. This could just indicate that he's playing up the injury to spend time with her.
Continuity: In one of the bedroom scenes, the Inspector places his robe on a chair next to the bed. In the next shot the robe is gone and returns again the following shot.
Continuity: When Clouseau comes back to the bedroom with the violin case, he puts it on the armchair. Later he sits down and the case isn't there no more.
Continuity: When Simone is holding George's graduation photo it has no border or white frame. Yet if you look very carefully when Charles hands it to her and after when he puts it under the ash tray on his night stand the photo has as a white frame border.
Continuity: When Sir Charles is first skiing behind Princess Dala to spy on her movements, he is wearing binoculars with the strap over his right shoulder, his left arm through the strap, and binoculars under his left arm as he skis with ski poles in both hands. When he stops, his left arm and ski pole are no longer through the strap; the binocular strap is simply around his neck with the binoculars hanging on his chest as he grabs them to look through them.