You might want to spend some time browsing the exhibits at Glinka National Museum Consortium of Musical Culture, Central Armed Forces Museum, or Gulag History Museum. Cathedral of the Immaculate Conception, Central Academic Theatre of the Russian Army, and Church of the Nativity of the Virgin in Putinki are landmarks that you won't want to miss. You can watch performances at Mossovet Theatre, Tchaikovsky Concert Hall, and Hermitage Moscow Theater if you're interested in local theater.