After his studies of piano, organ and singing at the university of Cracow Andrzej Dobber received a scholarship at the Nuremberg Conservatory. First he sang at the Nuremberg State Theatre, in close collaboration with Christian Thielemann, Musical Director at the time. In 1991 he changed to the Frankfurt Opera for three seasons. Since then he has been seen regularly at the world’s big opera and concert stages, among them e.g. the Metropolitan Opera New York, the Teatro alla Scala di Milano, the Opéra Bastille in Paris, the Teatro Comunale di Firenze, the Nationale Opera Amsterdam, the Lyric Opera of Chicago, the Semperoper Dresden, the Berlin State Opera and the Deutsche Oper Berlin, the Bavarian State Opera Munich, the Vienna State Opera, the Hamburg State Opera, the Gran Teatre del Liceu in Barcelona, as well as the Savonlinna Opera Festival and the Glyndebourne Festival.

In November 2010 Andrzej Dobber made his role debut of Jochanaan in Salome at the Hamburg State Opera, under the direction of Simone Young. Since 2007 he has been in close cooperation with the Hamburg Opera where he sang roles like Simon Boccanegra, Rigoletto, Macbeth, Amonasro (Aida), Amfortas (Parsifal), Tomski (Pique Dame), Giorgio Germont (La traviata), the title roles in Falstaff and Fürst Igor as well as Francesco Foscari in I due Foscari and Jack Rance (La fanciulla del West), just to name a few.

In 2015 Andrzej Dobber was appointed Kammersänger by the Senate of the Hanseatic City of Hamburg, where he performed the role of Barak in Die Frau ohne Schatten in 2017.

In February 2018 he gave his role debut as Holländer at the Semperoper Dresden. More performances followed in July.  In 2020/21 Andrzej Dobber returned both to Dresden (Germont, Scarpia, Ezio-Attila) and to Hamburg (Germont, Amonasro, Sharpless).

In the 2022/23 season Andrzej Dobber can be seen as Giorgio Germont, Scapia und Don Pizarro at the Hamburg State Opera and as Nabucco, Amonasro and Ezio at the Semperoper, among others.