Continuity mistake: When Roz is talking to Martin in the cafe, she takes a cookie from the plate, but in the next shot she gives the brownie to Martin with the same hand and the cookie is nowhere to be seen.
Continuity mistake: At the beginning of the show, Frasier is sitting with Martin and Niles in Cafe Nervosa telling them about the radio play. As Marty says "we were a simple people", Frasier manages to open his briefcase, take out the script, put it on the table, and put his briefcase back on the floor and be sitting still - all in about 3 seconds. This just wouldn't be possible in real time.
Continuity mistake: Niles is in the police station talking to Frasier and as he says "What happened?" one hand is holding a coffee cup and the other is on his hip. As the shot changes, both of his hands are on the coffee cup. (00:13:20)
Roz, a Loan - S6-E9
Continuity mistake: While Roz and Frazier are talking in Cafe Nervosa, the whipped cream on top of her coffee changes position and amounts from shot to shot.
Legal Tender Love and Care - S8-E6
Continuity mistake: When Frasier is carrying Abbie's coat to his door, he is holding it about 10 inches below the shoulders, but as the camera changes to him coming through the door, he is holding it about 6 inches higher, with no time to shift position.
You Scratch My Book... - S2-E15
Continuity mistake: Honey puts both hands on Frasier's shoulders, but the next shot shows one around his shoulder and one around his back, with no time shift positions naturally. (00:18:55)
Continuity mistake: When Lilith and Frasier are in the hotel room, Frasier's shoes are on the floor by the chair, neatly arranged. When he says "that's very impressive, Dr. Sternin" and walks away, the shoes are not in the same position anymore.
Continuity mistake: Early in the show, when Frasier comes into the booth and gives Roz a muffin, the note from Bulldog has changed position on her clipboard even though no one goes near it.
How to Bury a Millionaire - S6-E7
Continuity mistake: While Niles is talking to Marty on his phone/intercom at the Montana, the sherry glass on the table changes positions several times.
Our Parents, Ourselves - S6-E12
Continuity mistake: Early on in the show, Roz and Frasier are talking in her booth at KCAL. At one point she picks up a pencil and holds it for a couple of shots, but soon it has disappeared with no movement to put it down.
To Thine Old Self Be True - S7-E20
Continuity mistake: Frasier and Roz are in Cafe Nervosa and Roz is looking at a newspaper while Frasier talks about giving Donny a bachelor party. Roz puts the paper in her lap, but in the next shot over her shoulder we can see that she is still holding the paper up.
Continuity mistake: Marty is on the couch talking to Edward about how he came out, and in several shots his hands are laced together on his stomach. In the succeeding shots, with no time to change, his arms are folded up on his chest.
Continuity mistake: Frasier is in the hospital waiting room and Phil (the guy who later pretends he is Frasier) is reading a newspaper - he folds it up before talking to Frasier but in the next shot, from another angle, we see him folding it up again.
Three Dates and a Breakup (2) - S4-E20
Continuity mistake: Frasier's third date, Leslie, shows up at his apartment wearing a long off-white coat. He hangs it up beside the fireplace; for the rest of the scene we sometimes see the coat hanging with the left sleeve straight and sometimes with the left sleeve all crinkled up.
Shutout in Seattle (2) - S6-E24
Continuity mistake: Niles is trying to break up with Kit the waitress; they are in Cafe Nervosa and she is holding a tray. Sometimes the tray has a blue and white checked dishcloth on it, but in some shots it is not there.
Three Dates and a Breakup (1) - S4-E19
Continuity mistake: At Cafe Nervosa, while Roz is praying her old school mate won't recognize her, there is a crumpled up red napkin on the table. When he comes over to talk to her, it has magically disappeared.
The Ann Who Came to Dinner - S11-E13
Continuity mistake: Maris is hiding in a wooden box so she will be shipped out of the country. Marta, her housekeeper, has a protein shake for her, and puts the straw through a hole in the box. Maris indicates that she's drunk too much and Marta goes to put the straw back in the hole so she can regurgitate some - but just before that happens we see a stream of the liquid come out of the hole and dribble down the box. In the next shot the straw goes into the hole and the box is all clean and dry again.
Continuity mistake: While Marty is sitting with Eddie on his lap and talking to Niles, the dog's blue kennel tag goes from above Marty's hand to under Eddie's chin from one shot to the next.
Continuity mistake: Near the end of the show, when Frasier and Niles are having drinks, in a close shot of Frasier we see Niles' hand and drink come up to chin level but in the next shot his hand is still at waist level.
Continuity mistake: Niles has just met Mel in her office, and she is wearing a white coat - she is brushing off her sleeve in one shot, and then unbuttoning the coat in the next, without enough time to have switched that quickly.
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.