Between 2001 and 2007 Kurzak was a member of the ensemble of the Hamburg State Opera, where she sang numerous roles: Queen of the Night, Blonde, Susanna, Servilia, Marzelline (Fidelio), Nannetta (Falstaff), Ännchen (Der Freischütz), Gilda, Adèle, Gretel (Hänsel und Gretel), Maid (Powder her Face), Musetta, Cleopatra, Fiorilla (Il Turco in Italia), Marie (La Fille du Régiment). She recently made her return as Desdemona in Otello.
In 2004 Kurzak made her debut at The Metropolitan Opera in the role of Olympia in Les Contes d’Hoffmann. In the same season she debuted at the Royal Opera House-Covent Garden as Aspasia in Mitridate, Re di Ponto. The artist returned to the Met, singing Blonde in Die Entführung aus dem Serail, Gilda in Rigoletto, Gretel in Hansel & Gretel, Adina in L’Elisir d’amore, Nedda in Pagliacci and Micaela in Carmen. Since her first London appearance, Kurzak has returned regularly to the Royal Opera House, where she has performed roles of Norina (Don Pasquale), Adina, Susanna, Matilde (Matilde di Shabran), achieving a real triumph on this stage, and most recently as Fiorilla, Rosina (Il Barbiere di Siviglia), Gilda, Lucia di Lammermoor and Liù (Turandot).
In February 2010 Kurzak made her debut at the Teatro alla Scala in the role of Gilda and returned as Susanna and Adele in Le Comte Ory.
Kurzak has appeared as well at the Staatsoper in Berlin (Queen of the Night, Mimì in La Bohème), Teatro Regio in Parma and Théâtre du Capitole in Toulouse (Gilda), Bavarian State Opera in Munich (Cleopatra, Adele, Rosina, Fiorilla, Adina, Rachel in La Juive), Vienna State Opera (Rosina, Adina, Susanna, Marie, Gilda, Violetta, Desdemona, Liù), Teatro Regio in Torino (Vioetta), Teatro Massimo in Palermo (Norina), Teatro Massimo di Bellini in Catania (concert with arias by Bellini), Teatro Real in Madrid (Susanna, Marie), Lyric Opera House in Chicago (Blonde), Salzburg Festival (concert arias by Mozart, Ännchen and Donna Anna), Arena di Verona (Rosina, Juliette, Gilda, Violetta, Verdi-Gala), Los Angeles Opera (Fiordiligi), San Francisco Opera (Gilda), Palau de les Arts in Valencia and Gran Teatre del Liceu (Adina), Mozart Festival in A Coruña as well as at the Welsh National Opera in Cardiff (Aspasia), Theater an der Wien (Donna Anna and Amenaide), Finnish National Opera (Gilda), National Opera in Warsaw (Gilda, Violetta, Lucia), Teatro La Fenice (Donna Anna), Opernhaus in Zürich (Gilda, Norina, Nedda), Deutsche Oper Berlin (Violetta, Adina), Opéra de Paris (Adina, Micaela, Alice Ford in Falstaff, Vitellia in La Clemenza di Tito, Violetta, Desdemona), Seattle Opera (Lucia), Opéra de Monte-Carlo (Luisa Miller).
Kurzak has collaborated with many well known conductors including Ivor Bolton, Bruno Campanella, James Conlon, Sir Andrew Davis, Christoph von Dohnanyi, Riccardo Frizza, Rafael Frühbeck de Burgos, René Jacobs, Fabio Luisi, Nicola Luisotti, Sir Charles Mackerras, Ingo Metzmacher, Daniel Oren, Antonio Pappano, Carlo Rizzi, Ralf Weikert, Simone Young, Marco Armiliato, Maurizio Benini, Yannick Nézet–Séguin.
Aleksandra Kurzak has an exclusive recording contract with Sony Classical.
Season 2019/20 will see Kurzak appear as Violetta at the Metropolitan, Nedda at the Deutsche Oper and at Gran Teatre del Liceu, Alice Ford at the Bavarian State Opera in Munich, Violetta and Nedda at the Royal Opera House. Additionally, she will debut as Elisabetta di Valois (Don Carlo) at Opèra de Paris. In concert, she will appear in recitals at Teatro alla Scala e at Théâtre des Champs Elysées and she will debut the Verdi Requiem with Warsaw National Philharmonic Orchestra.