It isn’t surprising that Florida has a lot of genealogical resources, given the retired population living there.
Here are links to genealogical societies, but also historical societies and digital collections online.
FamilySearch Wiki – Florida
Chronicling America – Florida digitized historical newspapers
Florida Genealogy Records Online – New Horizons Genealogy
Ancestor Hunt – Newspaper Links
Florida Newspapers Online – FL Department of State
State Archives and Library of Florida – Florida Memory
RAOGK – State of Florida Records Guide
Florida Digital Newspaper Library
Florida Gulf Coast University – Archives, Special Collections & Digital Initiatives
Genealogical Society of Sarasota