The Botched Language of Cranes - S2-E6
Continuity mistake: About halfway through the show, Daphne, Roz, Niles, Frasier and Marty are all in the living room. Roz hands Frasier a piece of paper, which he takes and starts to unfold it - in the next shot, he is taking the paper again.
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.