American Airlines has round-trip flights from Austin (AUS) to New York, Orlando, Panama City FL, Salt Lake City, St. Louis, Tampa (JFK, MCO, ECP, SLC, STL, TPA) for $148-180, NONSTOP. Flights June to November. Extended weekends available. Origin/Destination reversible. No Thanksgiving dates.
A Carry-on bag and also a personal item is allowed for free on American. You can avoid paying for seat selection by accepting the randomly assigned seat at the gate.