You'll want to browse the collections at New Tretyakov Gallery - Museum of Modern Art, Cathedral of the Annunciation, and Armoury Chamber. Sights like Cathedral of the Assumption, Cathedral of Christ the Savior, and Ivan the Great's Bell Tower are must-sees while exploring the area. You can watch performances at Moscow State Variety Theater, Moscow International House of Music, and Taganka Theatre if you're interested in local theater.