| Nonstop Flights: Austin to/from Los Angeles $61 r/t [March-May] â American Airlines American Airlines has round-trip flights from Austin (AUS) to Los Angeles (LAX) for $61, NONSTOP. Flights March to May. Weekends available. Origin/Destination reversible. Click for more details and booking links Nonstop Flights: Austin to/from Los Angeles $61 r/t [March-May] â American Airlines . | 