You might want to spend some time browsing the exhibits at Alexander Arbuzov and Boris Arbuzov Memorial House, V.I. Lenin House Museum, or National Museum of the Republic of Tatarstan. Bauman Street, Suyumbike Tower, and Aleksandrovsky Passage are well-known local landmarks worth a visit. You can watch performances at Na Bulake Youth Theater, Tatar State Academic Opera and Ballet Theatre, and Galiaskar Kamal Tatar Academic Theatre if you're interested in local theater.