You might want to spend some time browsing the exhibits at Nemirovich-Danchenko's Apartment Museum, Moscow Museum of Modern Art, or Gulag History Museum. Sights like Morozov Mansion, Lenkom Theatre, and Yeliseyev Grocery Store are must-sees while exploring the area. You can watch performances at Andrey Shchukin Theater Arts Workshop, Na Strastnom Theater Center, and Stanislavski and Nemirovich-Danchenko Moscow Academic Music Theatre if you're interested in local theater.