You'll want to browse the collections at History of Yaroslavl Museum, Yaroslavl Art Museum, and Museum of the City of Yaroslavl. Sights like The Feodor Volkov Drama Theatre and Church of St Nicholas the Miracle-Worker highlight some of the local culture. You can watch performances at Volkov Theatre, Strannik Studio-Theater, and Yaroslavl State Young Spectators Theatre if you're interested in local theater.