From his breakout hit “Barely Breathing” nearly 20 years ago to his Tony-winning 2006 musical “Spring Awakening,” Duncan Sheik has proven himself a remarkably versatile singer and songwriter. At Carnegie Hall’s Zankel Hall, Sheik will perform music from his albums — including the latest, “Legerdemain” — as well as favorites from his theater work. Nov. 21, 10 p.m. 881 Seventh Ave. at W. 57th St. Tickets are $44-$52 at carnegiehall.org.