Continuity mistake: When Marty, Niles, and Frazier return from the taping of the Antiques Road Show, Marty hangs up his blue windbreaker and then Frazier hangs up his gray raincoat, obscuring Marty's coat. But throughout the scene, all we see is Marty's blue jacket - where did the raincoat go?
Revealing mistake: At Cafe Nervosa, after Niles has had a mini-breakdown, he has shed his clothes, boxers and all, all over the place and is supposedly naked in the corner with only a newspaper for privacy. When Frasier has him stand up to wrap aprons around him, one can see that David Hyde Pierce is actually wearing light-coloured briefs.
Continuity mistake: At the end of the show, when Martin, Niles, and Frasier are leaving Niles's place to go out for ice cream, they leave Maris's opened package on a large footstool next to a decorative metal bowl. When they return (closing credits) with their ice cream the package and its wrappings are gone - even though no one was left behind in the apartment.
Continuity mistake: During the opening scene, Niles is on the phone to his chef, and behind him, on a table, are two champagne glasses (beside the phone base)and 3 candles. He hangs up the phone, moves away and 2 of the candles and the glasses have disappeared, and the phone has been pushed further over. He sits on the couch, then goes to get the ironing board - when he sets it up we see the glasses and candles are back.
Continuity mistake: Throughout the Christmas parade we can see that the headphone/microphone is on the left side of Frasier's head. During the first break just after one of the crew members is telling Mary that her improv is really good he tells Frasier to lighten up. Just after he says this you can see that the headphone/microphone is now on the right side of Frasier.
Other mistake: In the kitchen, when Niles burns his hand you can see him move his hand down to stop the frying pan from falling off the stove. He doesn't touch it again, but it looks like the instinctive actions of someone who knocked something over rather than part of the scene. He just slips out of character for a moment.
Continuity mistake: When Frasier and Niles are in the cafe, Niles says "So what was Fay doing at your apartment last night?" When he says this, you can see he has just started to stir his coffee with a spoon. The shot then changes and the spoon has vanished.
Continuity mistake: When Martin and Shelly are having a fight, Frasier puts a small bag down, which is yellow on one side and has a logo on the other. He puts it down with the yellow side facing us, and for a several shots it stays like that. However, when Martin is talking about "things that bugged me," you see the bag has inexplicably rotated so the logo is now facing us.
Plot hole: When Frasier is trying to get to the bottom of Niles' problem viewing Daphne in a real way, we see them both against past scenes in the show; Frasier watches and comments on some of them as he talks but because he is actually only discussing these events with Niles, he shouldn't be able to see a visual of anything such as the dress Daphne is wearing during the dance scene.