If you are staying round Skipton then Famingoland and Scarborough are are good 1&1/2 to 2 hrs away (they're in the Yorkshire Moors rather than the Dales).
Masham is a another Dales destination that's well worth a visit, especially if you like real ale. Home to both the Theakstons and Black Sheep Breweries, a tour round each is worth it for the free beer and the differing stories of family rivalry over the last couple of decades.
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