You'll want to browse the collections at Armoury Chamber, Pushkin Museum of Fine Arts, and Cathedral of the Annunciation. Grand Kremlin Palace, Terem Palace, and Cathedral of Christ the Savior are notable landmarks to explore if you're in the area. You can watch performances at Maly Theatre, Bolshoi Theatre, and Stanislavski and Nemirovich-Danchenko Moscow Academic Music Theatre if you're interested in local theater.