Continuity mistake: Frasier is holding a bottle of bubbly during the scene when he, Niles, Daphne, Annie and Guy are in Niles's bedroom. As he walks to the door, he is holding it towards the bottom but when the shot changes he is suddenly holding it around the neck.
Continuity mistake: Early in the show, Frasier, Niles, Daphne and Martin are talking about going to The Ski Lodge. Daphne is holding a laundry basket - the laundry items under her elbow change during the scene.
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.