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, and she returned in the following seasons as Blonde (Die Entführung aus dem Serail), Gilda (Rigoletto), Gretel, Adina (L’Elisir d’amore), Nedda (Pagliacci), Micaela (Carmen), Violetta (La Traviata), Tosca and Musetta (La bohème).
In the same season she debuted at the Royal Opera House-Covent Garden as Aspasia in Mitridate, Re di Ponto, and 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, Liù (Turandot), Violetta, Nedda and Santuzza (Cavalleria Rusticana).
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, as well as in two recitals.
Kurzak has appeared as well at Opera di Roma and Palau de les Arts (Adina), Staatsoper in Berlin (Queen of the Night, Mimì in La Bohème, Cio-cio-san in Madama Butterfly, Elisabetta di Valois in Don Carlo), San Francico Opera, Teatro Regio in Parma, Théâtre du Capitole in Toulouse and Finnish National Opera (Gilda), Bavarian State Opera in Munich (Cleopatra, Adele, Rosina, Fiorilla, Adina, Rachel in La Juive, Cio-cio-san, Violetta), Vienna State Opera (Rosina, Adina, Susanna, Marie, Gilda, Violetta, Desdemona, Liù, Nedda), Teatro Regio di Torino e Teatro di San Carlo (Violetta), Teatro Massimo in Palermo (Norina, Santuzza), Teatro Massimo di Bellini in Catania (concert with arias by Bellini), Teatro Real in Madrid (Susanna, Marie), Lyric Opera of Chicago (Blonde), Salzburg Festival (concert arias by Mozart, Ännchen, Donna Anna), Arena di Verona (Rosina, Juliette, Gilda, Violetta, Verdi-Gala, Santuzza, Nedda, Tosca, Cio-cio-san), Los Angeles Opera (Fiordiligi), Gran Teatre del Liceu (Adina, Nedda), as well as Mozart Festival in A Coruña and Welsh National Opera in Cardiff (Aspasia), Theater an der Wien (Donna Anna and Amenaide), National Opera in Warsaw (Gilda, Violetta, Lucia, Hanna, Tosca, Cio-cio-san), Teatro La Fenice (Donna Anna), Opernhaus in Zürich (Gilda, Norina, Nedda), Deutsche Oper Berlin (Violetta, Adina, Nedda), Opéra de Paris (Adina, Micaela, Alice Ford in Falstaff, Vitellia in La Clemenza di Tito, Violetta, Desdemona, Elisabetta di Valois), Seattle Opera (Lucia), Opéra de Monte-Carlo (Luisa Miller, Cio-cio-san).
Kurzak has collaborated with many well known conductors including Marco Armiliato, Maurizio Benini, 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, Yannick Nezet-Seguin, Daniel Oren, Antonio Pappano, Carlo Rizzi.
Aleksandra Kurzak has been an exclusive recording artist for Decca and Sony Classical, and she has also recorded for Deutsche Grammophon, Warner, Aparté.
Season 2023/24 sees Kurzak appear as Santuzza at the Royal Opera House, Cio-cio-san and Liù at the Metropolitan Opera, Tosca at Berlin State Opera, Cio-cio-san at Teatro Real. Moreover, she will sing a recital at Grand Théâtre de Genève and the season opening concert at San Francisco Opera.