[5] Grundheber made his debut at the Wiener Staatsoper on 11 December 1976 in the title role of Mozart's Le nozze di Figaro,[6] and in 1983 performed Mandryka in Arabella by Richard Strauss.

[2] He portrayed Wozzeck again in the staging by Patrice Chéreau, shown from 1993 to 1999 at the Théâtre du Châtelet in Paris and the Staatsoper Berlin, conducted by Daniel Barenboim and alongside Waltraud Meier as Marie.

[1] Grundheber appeared in 1979 as Albert in a recording of Massenet's Werther, alongside Elena Obraztsova, Arleen Augér and Plácido Domingo, with the Cologne Radio Symphony Orchestra conducted by Riccardo Chailly.

In 1986, he recorded Mandryka in Arabella, with Kiri te Kanawa in the title role, chorus and orchestra of the Royal Opera House, Covent Garden, conducted by Jeffrey Tate.

In 1989, he performed for DVD the title role of Der fliegende Holländer, with Hildegard Behrens as Senta, a production of the Savonlinna Opera Festival conducted by Leif Segerstam.

In 1996, he recorded Barak in Die Frau ohne Schatten, with Deborah Voigt, Sabine Haas and Hanna Schwarz, and the Staatskapelle Dresden conducted by Giuseppe Sinopoli.