There's a couple that me and my crew go to each year. Some of them are a drive but they are all in Florida within a reasonable distance:
Megacon - which is usually at the end of February or early March in Orlando
Chibi-Pa - which is September 4-6 this year in West Palm
EXP convention - which is October 9-11 this year in St. Augustine
ZonaCon - which is November 20-22 this year in Orlando
MetroCon - Usually in June or thereabouts in Tampa
If you want to look up the convention schedule for the remainder of this year and for next year you can go to:
http://www.animecons.com/events/