Continuity mistake: During the opening credits, Frasier is playing the piano and Martin is going through papers on the table. When Marty says "I don't know, Eddie, must you?" there is something pink lying on the table. The shot goes back to Eddie and then back to the table, but the pink item has disappeared.
Continuity mistake: While Martin is saying grace, Eddie is sitting right on his backside staring at Frasier, who yells "will you stop staring!" The next shot, from behind Eddie, shows him noticeably leaning over on one haunch, even though there was no time for the change.
Continuity mistake: When Bulldog gets back to the kitchen table after closing the door on Roz's date Ted, there is a large blue casserole dish sitting there - it wasn't there when he went to answer the door. Roz had been hiding the whole time, so she didn't put it there.
Continuity mistake: Towards the end of the show, Frasier is explaining to Niles how he was stood up that evening; at the same time he is getting himself a glass of sherry. Niles says, "there was no emergency", we see Frasier repeat the actions to get a glass of sherry all over again.
Continuity mistake: Frasier (and later the others) come back to his apartment to avoid the rain - they shake off umbrellas, and we even hear the storm at the very start of the scene. However there's no rain on the balcony - can't be covered, as we see in "call me irresponsible" during the obligatory sex scene that when it's raining the balcony gets soaked.
Continuity mistake: Frasier tells his father Maureen wants to break up with him, and Marty heads for the kitchen, leaving his blue container of stomach medicine on the credenza. But as Marty passes by the dining room table, he suddenly has the container in his hand again.
Continuity mistake: In the conference room, Frasier says, "I just said that," and the shot shows his arms resting on the table with his hands up, gesturing. The next shot, from the side, shows him leaning back in his chair with his arms right off the table. The shot then goes back to the original position. There was no time for him to move naturally.