I do 3 or 4 long weekend road trips every year, usually within driving distance. DC is my most visited place (going again in March) but in the last year and a half I've been to Niagara Falls, Philly, Pittsburgh, Nashville, Indianapolis, Virginia Beach, Tampa, and a couple of other places I can't think of at the moment.
By far my favorite place to go is anywhere in Europe, even more than Disney. I'm in the process of planning a trip to Germany, France, Austria, and maybe the Czech Republic for this fall with some friends. If it weren't so expensive I'd go every year. Hopefully Ireland will do their part in dragging the Euro down so it isn't so expensive this fall.
I do a lot of running, cycling, kayaking, and hiking anywhere I go though, sitting on a beach for more than a day just doesn't appeal to me.