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She made guest appearances in Frankfurt, Dresden, Zurich, London, Prague, and Budapest, and she created Pfitzner's Das Herz, in Munich in 1931, other notable operatic roles included Eva and Die Marschallin.
His roles have included most of the major bass roles of the Verdi and Wagner repertories, such as: Miller, Sparafucile, Ferrando, Padre Guardiano, Phillip II, Landgrave, Hans Sachs, Gurnemanz, etc.
Alexander has sung with companies in Buenos Aires, Vienna, Brussels, Canada, Copenhagen, Paris, Athens, Bayreuth (Beckmesser in Wieland Wagner's Die Meistersinger, 1963), Berlin, Cologne, Frankfurt, Hamburg, Munich, Stuttgart, Florence, Mexico City, Basel, Geneva, Zurich, Edinburgh, Glyndebourne, Baltimore, Boston, Chicago, Cincinnati, Fort Worth, Hartford, etc.
His recordings include Die Meistersinger (with Claire Watson, 1963), Die Frau ohne Schatten (1963), Siegfried (conducted by Herbert von Karajan, 1968–69), Ariadne auf Naxos (conducted by Karl Böhm, 1969) and, from Bayreuth, Parsifal (with Irene Dalis as Kundry, led by Hans Knappertsbusch, 1962) and Lohengrin (with Anja Silja and Astrid Varnay, 1962).
There are a number of recordings of Reining: her Arabella (Salzburg, 1947, under Karl Böhm), Daphne (Vienna, 1944, Böhm), Ariadne (Vienna, 1944, Böhm), Eva in Die Meistersinger (Vienna, 1937, Toscanini), Marschallin in Der Rosenkavalier (Salzburg, 1949, George Szell; Salzburg, 1953, Clemens Krauss; Vienna, 1954 (Studio), Erich Kleiber; Vienna, 1955, Knappertsbusch) are all on disc.
In the summer of 1963, the Heldentenor made his debut at the Bayreuth Festival as Kunz Vogelgesang in Wieland Wagner's new production of Die Meistersinger, with Anja Silja as Eva.