Classic Florida fiction:
Their Eyes Were Watching God by Zora Neale Hurston
Killing Mister Watson by Peter Matthiessen
If you are a scifi/fantasy fan, longterm Florida resident and popular author Piers Anthony kicked off a popular series with A Spell for Chameleon, which is set in an alternate version of Florida.
Last Train to Paradise: Henry Flagler and the Spectacular Rise and Fall of the Railroad that Crossed an Ocean Paperback by Les Standiford
Journalism, essays, etc.:
Ditch of Dreams: The Cross Florida Barge Canal and the Struggle for Florida's Future by Steven Noll and David Tegeder
A Florida Anthology by Dale Andrew White This is a Kindle-only book with several selections non-fiction mostly historical selections, look it up on amazon.com for further info.
Dance of the Reptiles: Rampaging Tourists, Marauding Pythons, Larcenous Legislators, Crazed Celebrities, and Tar-Balled Beaches: Selected Columns by Carl Hiassen