You'll want to browse the collections at Armoury Chamber, Palace of Facets, and Cathedral of the Annunciation. Grand Kremlin Palace, Terem Palace, and Cathedral of the Assumption are landmarks that you won't want to miss. 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.