Reuter has appeared at the Wagner Festival in Bayreuth, the Salzburg Festival, Wiener Staatsoper, Theater an der Wien, Deutsche Oper in Berlin, Covent Garden in London, Opéra national de Paris (Bastille) in Paris and the operas of Lisbon, Madrid, Zurich, Hamburg, Frankfurt, Essen, and Stuttgart.
He also sang the role of Theseus in Harrison Birtwistle's opera The Minotaur Reuter has performed at festivals and in concert halls across Europe, including the Bregenz Festival, Maggio Musicale in Florence and the BBC Proms in London, Concertgebouw in Amsterdam, Berliner Philharmonie, and Palais des Beaux Arts in Brussels.
Scheduled are debuts at Gran Teatre de Liceu in Barcelona, Bayerische Staatsoper in Munich and the Metropolitan in New York.
Reuter has released a host of CDs, including recordings of Kunzen's Holger Danske, Carl Nielsen's Maskarade, Schubert's Winterreise (in Danish), Rare Verdi with rare Verdi arias, and a CD with lieder by Richard Strauss, Nielsen and Børresen.
He furthermore appears on a number of DVDs, including The Copenhagen Ring, Bo Holten's The Visit of the Royal Physician, Mozart's Zaïde and Birtwistle's The Minotaur.