The North Yorkshire Moors are well worth a visit...
Check out Heartbeat country and drop into the "Aidensfield Arms" for a drink or lunch. There are a lot of nice little villages dotted across the Moors. The moors can be a little bleak in winter but it is special landscape and it really comes into it's own in August when the heather flowers and the moors are a mass of purple. The North Yorkshire Moors steam railway runs from Pickering to Whitby and you can get off an explore at stops along the way.
Whitby sits on the coast at the far side of the North Yorkshire Moors - a delightful fishing port with a jumble of buildings built on what seems like every square inch up the cliffs. Whitby Abbey is well worth a visit and there is also Captain Cook's Museum. The town also feeds off the legend of Dracula who entered the country at this port! So beware! Pick your time to visit as there are Goth weekends when the place is overrun with - you have guessed it Goths!
Not a place to visit if the weather is poor but can be a very nice day out.