Continuity mistake: Towards the end of the show, Frasier is explaining to Niles how he was stood up that evening; at the same time he is getting himself a glass of sherry. Niles says, "there was no emergency", we see Frasier repeat the actions to get a glass of sherry all over again.
Continuity mistake: When Frasier asks Martin "Where are your pants?", Marty is holding the ice cream carton underneath, but when the shot changes and he answers, "In the fridge", he is holding the carton by the side.
Continuity mistake: When Frasier and Niles are talking about Freddy, the ice cream carton on Marty's table goes from being parallel with the remote to being perpendicular - and then changes position again - no one goes near it during their conversation.
Continuity mistake: After Frasier watches the video of Eddie, he tosses the remote on the coffee table. When Niles comes in a short time later, the remote has disappeared, but when Niles asks, "Aren't you going to ask me what's up?" we can see the remote again, on top of the manila envelope. It disappears and reappears throughout the scene.
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.
Answer: It equals the record of James Arness of "Gunsmoke" for the actor who's played the same part on TV NOT in a soap opera. If you include soaps there are two main contenders - William Roache, who's been playing Ken Barlow in "Coronation Street" in the UK since 1960. Don Hastings has been playing Robert Hughes in US soap "As the World Turns" since 1960 as well.