She performed the Fifth Maid in Strauss's Elektra at the Met in 2016 and Curra in Verdi's La forza del destino at the Royal Opera House, Covent Garden, in 2019.
Other early roles with that house included Princess Ninetta in Prokofiev's The Love for Three Oranges, the Second Woodnymph in Rusalka, and the fifth maid in Strauss's Elektra.
[6] She later returned to the Met as Bess in Porgy and Bess (1985), the title role in Jenůfa (1985, 1986), Vitellia in La clemenza di Tito (1987, 1991), Mimì in La bohème (1987), Antonia in The Tales of Hoffmann (1987), Countess Almaviva (1988, 1989), Donna Elvira in Don Giovanni (1990), and the Fifth Maid in Elektra (2016)[4] In 1982 Alexander made her debut at the Komische Oper Berlin as Puccini's Mimì, a role she sang again for her debuts at The Royal Opera, London in 1984 and the English National Opera in 1992.
[4] In 1985 she gave her first of several performances at the Theater an der Wien as Cleopatra in Handel's Giulio Cesare, and sang Donna Elvira for her debut at the Vienna State Opera in 1986.
In 2004 she portrayed Hannah Pitt and other characters in the world premiere of Péter Eötvös's Angels in America at the Théâtre du Châtelet in Paris.
Conductors she has worked with include Vladimir Ashkenazy, Andrew Litton, Bernard Haitink, Sir Colin Davis, Nikolaus Harnoncourt, James Levine, Zubin Mehta, Carlo Maria Giulini, Leonard Slatkin, Jesús López Cobos, Seiji Ozawa, André Previn, Sir Simon Rattle, and David Zinman.