If this would include musicians that are Jewish, you can include Bob Dillon, Mac Miller, David Draiman, Neil Diamond, Paul Simon and Art Garfunkle, Kinky Friedman and the Texas Jewboys, Matisyahu, Barbara Steisand, David Lee Roth, Gene Simmons, Paula Addul, and last but not least Billy Joel.
Irving Berlin, Felix Mendlssohn, Gustav Mahler, Salamone Rossi, Arnold Schoenberg and Leonard Bernstein were all renown in the classical music realm.