You might want to spend some time browsing the exhibits at Glinka National Museum Consortium of Musical Culture, Moscow Museum of Modern Art, or Gulag History Museum. Sights like Lenkom Theatre, Yeliseyev Grocery Store, and Stanislavski and Nemirovich-Danchenko Moscow Academic Music Theatre are must-sees while exploring the area. You can watch performances at Tchaikovsky Concert Hall, Moscow Arts Theatre, and Tik Tak Theater if you're interested in local theater.