Titusville (Space Coast Regional) - KTIX. You can see the NASA facility (shuttle assembly building and launch pads) very clearly (they are only about 10 miles east of the airport). They have an ILS and NDB approach ... don't remember if they had a VOR. Also a pretty decent "diner-style" restaurant on the field that isn't overpriced at all.
No instrument approach at all but of the 76 Florida airports I've landed at, Cedar Key (KCDK) is my favorite. It's on the west coast, west of Cross City ... tiny island, even smaller airport, 100% unattended. The island has a few restaurants, couple of beach resorts, and some shopping and is surrounded by even smaller islands that are now national park. It's a real treat and if you ever get a chance to go in there for a day, you won't be disappointed.
Wow, Hammer hit the nail right on the head. TIX does have an NDB, ILS, and GPS approach. You can always go 5 minutes down the coast or 20 up and shoot a VOR approach in Melbourne or Daytona Beach. But TIX and CDK are definitely neat. There's even a lady in Cedar Key who listens for arriving aircraft and will give you a cab ride into town for 5 bucks per person each way.
By the way, I would have said Cross City. They used to have a restaurant and you could buy beer and feed it to pigs out back. They closed about 2 years ago.
Cross City is still worth the trip if you have time in Florida .... very nice people at a decent sized airport that's never busy. Yeah, the beer drinking pig is gone however there is a nice little diner (called Elaine's) that's about a 3 minute drive from the airport where you can get great food really cheap. The airport manager was always happy to let you use the car to go in to town if you wanted. It's real small-town America.