The Sheremetiev Museum focuses on the Crimean War of 1853-1856, with uniforms, firearms, photographs, prints, and battle material from the period. It is a compact stop, but useful if you want more context for Balaklava and Sevastopol's military history.
The strongest reason to visit is the way the collection makes the 19th-century conflict feel less abstract. Pair it with the harbour and other Balaklava sights rather than treating it as a standalone day out.