You'll want to browse the collections at Retro Auto Museum, Andrei Rublev Museum of Early Russian Art, and Cathedral of the Annunciation. Sights like Catherine's Palace, Palace of the Romanov Boyars, and Spasskaya Tower are must-sees while exploring the area. You can watch performances at Commonwealth of Actors of Taganka Theater, Taganka Theatre, and Moscow International House of Music if you're interested in local theater.