Martin Does It His Way - S3-E3
Continuity mistake: When Martin first brings the sheet of paper out of the box with the lyrics to his best song on it, the paper has a section torn out of one corner. A couple of shots later and the paper is whole.
Continuity mistake: Near the end of the show, Roz and Frasier are at the radio station, in his booth. There is a clipboard lying on the console to the left. Roz goes to her booth (without the clipboard) and Bulldog bursts through the door on the left. The clipboard has disappeared. Shortly afterwards Roz goes back into Frasier's booth and the clipboard is back where it was.
Continuity mistake: Near the beginning of the show, Daphne drops Martin's eclair into a glass of orange juice. By the end of the scene, the eclair is sitting in a mug. No one moved it during that time.
Continuity mistake: Frasier is in Mr. Safford's study talking to him. As Frasier says "a little unconventional," his right hand goes up to his chin, gesturing. As Safford answers, Frasier's hands are grasped together in front of him, with no time for natural change.
Continuity mistake: Just before the closing credits, Marty opens his gift from Frasier - a dressing gown, which he puts back down on top of the box in a disorganized heap. By the end of the scene, a shot shows the dressing gown neatly folded in the box.
Continuity mistake: Early in the show, Frasier is at home - the rest of the gang have surprised him with a birthday cake. In one shot the candles are burning on the cake, in the next Frasier is cutting the cake and the candles have disappeared, with no time allowed to remove them.
Continuity mistake: Eddie is sitting in Martin's chair while Daphne feeds him pate from a plate on Marty's table. At the same time she is scratching his ears. The shot changes, and without enough time for this to have happened naturally, Eddie is lying on the chair and Daphne has the plate in her hand.
Sleeping with the Enemy - S3-E6
Continuity mistake: At the beginning of the show, Roz and Frasier are standing in front of the bulletin board at KACL. As they talk, from shot to shot, the papers on the bulletin board shift position.
Martin Does It His Way - S3-E3
Continuity mistake: Just after Daphne moves the urn from the table to the bookcase, the brown files on the table change position between shots.
The Adventures of Bad Boy and Dirty Girl - S3-E7
Revealing mistake: Frasier comes in complaining how workmen in the service elevator have dribbled chili dog on his foot. He is holding out his shoe saying "How ever will I get that stain out", and Eddie runs over and starts licking what we think is the shoe. Frasier makes a comment about dog saliva being the universal solvent. In fact, Eddie does not even touch the shoe, but licks the floor in front of Frasier. Obviously the floor was treated with something Eddie would enjoy licking up.
Sleeping with the Enemy - S3-E6
Continuity mistake: Roz is talking about confronting Kate and says "you're damn right we're going to tell her", her arms go from being folded in front of her to down by her sides with no time for this to happen naturally.
Kisses Sweeter Than Wine - S3-E5
Continuity mistake: When Niles first takes out a hanky to put to his bleeding nose, it is folded in a square and remains that way for a couple of shots. Soon, though, without Niles changing it, the hanky becomes rectangular.
Continuity mistake: Frasier knocks the drinks over in Manu's newspaper stand. They had been sitting on a plastic tarp over some newspapers. In the next shot the plastic tarp is draped much differently, covering the papers more. No one touched it in the meantime.
Continuity mistake: Frasier is arguing with Niles in the kitchen and removes a large bottle of water from the fridge. He takes off the cap, and pours water into a glass. Immediately the shot shows the bottle capped again while Frasier and Niles continue talking.
The Last Time I Saw Maris - S3-E8
Continuity mistake: At the beginning of the show, while Noel is getting Frasier to sign his Star Trek petition, Roz puts a blue plastic cassette into the machine to Frasier's left. During the scene it changes to a black cassette, without anyone touching it, and at the end of the scene Roz walks off with a blue cassette in her hand.
Kisses Sweeter Than Wine - S3-E5
Continuity mistake: When Frasier comes out of the bathroom, he has shaved without water, and has at least 4 bits of tissue with blood on them stuck to his face. Within 5 minutes he is greeting his guests at the door and his face is completely smooth with no sign of a cut or scrape.
A Word to the Wiseguy - S3-E15
Continuity mistake: Niles goes to KACL and walks into Frasier's booth - there is nothing on the console in front of Frasier - but then in a shot something shaped like a cellphone appears but in subsequent shots is gone again.
A Word to the Wiseguy - S3-E15
Continuity mistake: The guy Niles and Frasier meet at the Cafe puts his coffee cup down twice between shots, after he has made the phone call and before he leaves. (00:09:20)
The Show Where Diane Comes Back - S3-E14
Revealing mistake: When the waitress brings Frasier his coffee, she tilts the cup quite a lot and you can see that it's empty. (00:13:00)
Continuity mistake: When Roz and Daphne are in the kitchen, the tea cup turns about 45 degrees so we see much more of the flower pattern from the same camera angle. Neither of them touched it.
Answer: In the last episode, they explained that Tossed Salad and Scrambled Eggs is a metaphor for the mixed-up people to whom Frasier dispenses his radio psychiatric advice.