When in the area we usually drive from Navarre Beach to Pensacola Beach. It is a beautiful 14 mile drive alongside the ocean. It has nothing but white sand dunes and beautiful water, it is preserved nothing built on it. Anyway, we go to Peg Leg Pete's on Pensacola Beach. Your turn on Ft Pickens road and go by past Margaritaville and go about a mile or two. Best seafood in the area. One evening Peter Gammonds sat right across from me, he was in the area covering the Braves in Ft. Walton for ESPN. Howl At The Moon is a great night life place with Piano comedy, it is on the boardwalk outside of Destin, fun and even can take the kids.
Maquire's for burgers
Dewey Destin for seafood in Destin. If you are really wanting to stay in and cook seafood, I suggest Sexton's Seafood Market.
AJ's is probably the most famous, great view at sunset right on the water.
Mimmo's Ristorante Italiano - best Italian not in just Destin, but can compete with anyone.
**** Disclaimer, I have not stayed in Destin in 4-5 years, my 17 and 21 year old sons have got me staying in Panama City Beach for the obvious. ***