You'll want to browse the collections at Moscow Museum of Modern Art, Gulag History Museum, and State Historical Museum. Stanislavski and Nemirovich-Danchenko Moscow Academic Music Theatre, Church of the Nativity of the Virgin in Putinki, and Lenkom Theatre are notable landmarks to explore if you're in the area. You can watch performances at Na Strastnom Theater Center, Chekhov Art Theater, and Bolshoi Theatre if you're interested in local theater.