| Cheap Flights: San Antonio or Austin to Athens $520-$573 r/t [Sep-Oct, Jan-Feb] â American Airlines American Airlines has round-trip flights from Austin or San Antonio (AUS, SAT) to Athens (ATH) for $520-$573 with a connection. Flights September, October, January, and February. Extended weekends available. San Antonio flights after September were ignored due to having long connections or multiple stops. Click for more details and booking links Cheap Flights: San Antonio or Austin to Athens $520-$573 r/t [Sep-Oct, Jan-Feb] â American Airlines . | 