You'll want to browse the collections at Sukachev Fine Arts Museum, Baikal Museum, and City History Museum. Volkonsky House Museum, Irkutsk Regional Memorial Decembrists Museum, Volkonsky House, and Irkutsk Regional Memorial Decembrists Museum, Trubetskoy House are monuments to see when you're exploring the area around Kirov Square. You can watch performances at Irkutsk Musical Theater, Okhlopkov Drama Theater, and Cheremkhovo Drama Theater if you're interested in local theater.