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: At the radio station, Roz waves her pencil at Frasier through the glass to wrap up his show; she has a KACL mug in her other hand. The next shot shows her actually leaning over to pick up the mug, without enough time for her to have put it down in the first place.