JetBlue, American Airlines, and Delta have round-trip flights from Dallas (DFW) to New York/Newark (JFK/LGA/EWR) for $87-$98, NONSTOP. Flights September to June. Weekends available. Origin/Destination reversible.
Carry-on bag is allowed for free on Delta and American. You can avoid paying for seat selection by accepting the randomly assigned seat at the gate.