Continuity mistake: Near the beginning of the show, Frasier brings Roz a muffin in a bag which she places to the left of her phone (her left). During the scene, the bag shifts from being near the console to being back to left of the phone. At one point Frasier and Roz leave the booth, then come back in, and it has moved in the meantime.
Continuity mistake: Near the start of the show, Roz is reading the note Bulldog has left with the teddy bear. She is holding the note in both hands with the bear between her arm and chest. As she says "love, Bulldog", the shot shows one hand hugging the bear against her, with no time for this to have happened naturally.
Continuity mistake: When Frasier is reading from the psychiatric journal that contains Niles' letter, at one point he is holding it in both hands by the front cover - the shot changes and he has one hand on the front cover and one hand on the back cover, without time to switch naturally.