You'll want to browse the collections at Sukachev Fine Arts Museum, Baikal Museum, and Museum of the History of the East-Siberian Railway. Sights like Volkonsky House Museum, Roman Catholic Parish of the Assumption of the Virgin, and Irkutsk Academic Drama Theater are landmarks to visit in the area. You can watch performances at Okhlopkov Drama Theater, Irkutsk Musical Theater, and Theater for Young Spectators if you're interested in local theater.