You'll want to browse the collections at Moscow Museum of Modern Art, Nemirovich-Danchenko's Apartment Museum, and Modern Russian History Museum. Stanislavski and Nemirovich-Danchenko Moscow Academic Music Theatre, Church of the Nativity of the Virgin in Putinki, and Alexander Goldenweiser's Memorial Flat Museum are notable landmarks to explore if you're in the area. You can watch performances at Na Strastnom Theater Center, Bogis Theatrical Agency, and Chekhov Art Theater if you're interested in local theater.