Drury has performed and recorded a range of compositions by classical and contemporary composers including Igor Stravinsky, Charles Ives, John Cage, Frederic Rzewski, Elliott Carter, and John Zorn. He is the music director of the contemporary music ensemble Callithumpian Consort and teaches at the New England Conservatory of Music.
His CD of Rzewski's The People United Will Never Be Defeated! is considered by critics to be the definitive recording of that work. He has performed with Frederic Rzewski at Carnegie Hall as recently as May 1, 2008. His CD of Zorn's Carny (John Zorn, Angelus Novus, Tzadik 7028) is also considered by critics to be the definitive recording of that work.