Delta, and Virgin Atlantic have round-trip flights from Austin (AUS) to Munich (MUC) for $573-$584 with a connection. Flights October to March. No Weekends. Departures on Monday, Tuesday, Wednesday, and Thursday. (Holiday dates were removed by Delta)
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.