If you like nature, then North Florida. West of Gainesville. Along the Suwannee River. The highest number of magnitude one freshwater springs in the country (I think in the world, but I'm not sure). Many of them are State Parks. Florida has the best State Park System in the US. (probably because we get so damn many tourists.)
Here's a link to Manatee Springs State Park. It's one of the prettiest and it's on the Suwannee River.
http://www.floridastateparks.org/manateesprings/default.cfm
You can click around and look at the other ones in the area.
If you like history, then St. Augustine, the Oldest City in the US. It's got history, art galleries, beaches, watersports, fishing, golf, blahblahblah. And it isn't overgrown and overdeveloped like Ft. Lauderdale, Daytona Beach, Tampa, St. Pete. blahblahblah. You can still see what Florida looked like before the mouse invaded and built Mouse World in the middle of an orange grove.