While I was growing up my grandparents lived in Naples and we used to drive down for two weeks every Easter, so I have driven through most of the state. Places I have actually stopped and visited are:
Naples/Marco Island/Ft. Myers/Ft. Myers Beach/Sanibel south to Everglades City and east as far as Ochopee
Tallahassee when my Aunt went to Florida State University there
Tampa/St. Pete area when my Aunt lived there, including Busch Gardens
Downtown Orlando/Winter Park visiting same Aunt (she moved a lot!

)
Kissimmee after Grandpa divorced and remarried
Cape Canaveral area and KSC
Key West (we flew down from Naples, so I'd like to drive down someday and check out all the little Keys along the way)
I've also been to Miami and West Palm Beach if you count time spent at airports.
I haven't spent much time on the East Coast, and suppose I ought to go see St. Augustine and Daytona, but the only other place I end up besides WDW is Naples these days. Someday...