The Show Where Lilith Comes Back - S1-E16
Visible crew/equipment: Halfway through the episode the boom mic is visible at the top left of the screen above Lilith. (00:10:00)
Visible crew/equipment: During the closing credits, Frasier is sitting on his couch with a platter of meat beside him. Eddie is sitting up and begging for it and while he is doing this we can see the distinct shadow of his trainer's hand and arm against the couch. The hand goes higher and Eddie waves his paws higher and as the hand goes down, Eddie lowers his paws. Eddie keeps his eye on the trainer during this whole sequence. Once Frasier gives Eddie the platter of meat, the shadow disappears.
Visible crew/equipment: A boom mic is briefly visible when Frasier is talking with Kate in the hall. (00:11:09)
Visible crew/equipment: Halfway through the episode, the new station manager says she has to fire someone. If you look at the top of the screen by the white box on the wall, you can see the boom mike.
To Kill a Talking Bird - S4-E14
Visible crew/equipment: After Frasier starts the fireplace and it scares Niles' bird, you can see the hands of a bird handler by the stairs on the upper right of the screen. (00:12:21)
Visible crew/equipment: When Frasier and Daphne are sitting talking in the sitting room, Frasier stands and the camera angle shows the fake wall above the fireplace - you can see the flue and that the wall stops just over where the shot normally finishes. There is visibly no proper wall behind the fireplace, you can see clear through to the construction behind.
Visible crew/equipment: When Frasier is getting ready to leave his booth while Bulldog starts his show, through the door on the left we can see a fairly thick white cable suspended in the air. It is visible for a couple of shots, but when Frasier opens the door to leave, it is gone.
Good Grief - S6-E1
Visible crew/equipment: The shot after Frasier says "I'm quite sure" a mic appears from above. (00:18:35)
Visible crew/equipment: As Frasier walks into the kitchen near the start you can see a crew member with arms folded at the side of the table on the other side of the lamp. (00:03:55)
Three Faces of Frasier - S7-E21
Visible crew/equipment: Towards the end of the show, Marty and Frasier are sitting in the living room talking. Eddie is curled up right next to Frasier on the couch. There are a number of shots focused on Frasier and Eddie and on the bottom of the screen one can see something flick by a couple of times - and in one shot there is definitely a couple of inches of a grey metal pole of some sort, about the thickness of a broom handle.
Something Borrowed, Someone Blue (1) - S7-E23
Visible crew/equipment: As Roz and Simon are leaving, and Niles enters the apartment just before telling Martin he's married, the camera pans far too wide. On the left-hand side of the screen, you can easily see the end of the set and crew members in jeans standing around.
Visible crew/equipment: When Frasier is standing through his sunroof to speak with the drivers stuck behind him in the parking garage, one shot shows Frasier's body and much of the rear window which features a very clear reflection of the boom mic.
Some Assembly Required - S10-E19
Visible crew/equipment: As Frasier and Roz are leaving the Grant's home you can see the shadow of a boom mic appear near the top of the door. It quickly comes into frame and you then see it disappear.
Visible crew/equipment: When Daphne is yelling from the kitchen door about Marty not storing his gun properly we can see pole-shaped shadows passing over her head on the shelves behind her. These cannot be explained by the actor's movements.
Goodnight, Seattle: Part 1 - S11-E23
Visible crew/equipment: (This is for the last episode, "Goodnight, Seattle.") When Kenny opens the door to use Frasier's bathroom, you can see a light pass across the wall above the fireplace.
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.