Delta, American Airlines, United, JetBlue and various other airlines have round-trip flights from Austin (AUS) to New York/Newark (JFK/EWR) for $179-$189, NONSTOP. Flights July to October. Extended weekends available. Origin/Destination reversible.
A Carry-on bag and also a personal item is allowed for free on Delta. You can avoid paying for seat selection by accepting the randomly assigned seat at the gate.