Then there's Leslie Nielsen as Frank Drebin in Police Squad! and the Naked Gun movies. The movies aren't really in the same continuity as the show; indeed, the first movie's script consisted largely of recycled gags from the show, so it's kind of a semi-remake.
On that argument...you could say the same about The Avengers - several scripts from the first three seasons were recycled for the Rigg/Thorson years, in some cases without changing the names of the guest characters/victims. (This also happened on Dixon of Dock Green, with even less effort to disguise the remake - but in an era of live TV they were effectively repeats a season later, IYSWIM).
Related question: Law and Order UK has receylce scripts from the US versions... does that mean it's in a different continuity, as the samecase happened twice, with different cops and lawyers involved?