You'll want to browse the collections at Museum of Communications, Irkutsk Regional Art Museum, and Sukachev Fine Arts Museum. Volkonsky House Museum, Irkutsk Regional Memorial Decembrists Museum, Volkonsky House, and Roman Catholic Parish of the Assumption of the Virgin are monuments to see when you're exploring the area around Kirov Square. You can watch performances at Theater for Young Spectators, Irkutsk Musical Theater, and Aistenok Irkutsk Regional Puppet Theater if you're interested in local theater.