Cayton Bay, about 2 miles from Scarborough is ace, stay there twice a year always.
Whitby is famous for JET as I think it is the only place it is found, the abbey ruins are good as well.
As mentioned in Scarborough lots to do, Goathland(heartbeat) is nearby to whitby, good for a look but mega busy, peasholme park in Scarby is good, scary house on seafront next to simulator, even do Ghost tours in Scarby, plus boat trips Regal Lady and Corona Queen.
I go there as they are so friendly around Yorkshire.
tabetha