You might want to spend some time browsing the exhibits at Anatomical Museum, V.I. Lenin House Museum, or Victory Park. Sights like Aleksandrovsky Passage, Bauman Street, and Suyumbike Tower are landmarks to visit in the area. You can watch performances at Tatar State Philharmonic, M. Dzhalil Tatar Academic State Opera and Ballet Theater, and State Academic Russian Bolshoi Drama Theatre named after Kachalov if you're interested in local theater.