Delta, United, and American Airlines have round-trip flights from San Antonio or Austin (SAT, AUS) to Los Angeles (LAX) for $159-$189, NONSTOP. Flights January to May. No Sunday departures. Extended weekends available. Origin/Destination reversible.
A Carry-on bag and also a personal item is allowed for free on Delta and American. You can avoid paying for seat selection by accepting the randomly assigned seat at the gate.