You might want to spend some time browsing the exhibits at New Tretyakov Gallery - Museum of Modern Art, Cathedral of the Annunciation, or Palace of Facets. Shukhov Tower, Palace of the Romanov Boyars, and Spasskaya Tower are notable landmarks to explore if you're in the area. You can catch a show at Moscow International House of Music, Taganka Theatre, and Moscow State Variety Theater.