You'll want to browse the collections at Baikal Museum, City History Museum, and Volkonsky House Museum. Irkutsk Academic Drama Theater, Irkutsk Regional Memorial Decembrists Museum, Trubetskoy 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 Okhlopkov Drama Theater, Irkutsk Musical Theater, and Cheremkhovo Drama Theater if you're interested in local theater.