KLM, British Airways, Finnair, Iberia and various other airlines have round-trip flights from Austin (AUS) to Copenhagen (CPH) for $529-$588 with a connection. Flights February to May. No Friday departures. Very few extended weekends available.
Click for more details and booking links Cheap Flights: Austin to Copenhagen $529-$588 r/t [February-May] – KLM / British Airways / Finnair / Iberia