Chennai's Victory War Memorial stands near Fort St. George and commemorates soldiers from the old Madras Presidency who died in the world wars. Later inscriptions also mark Indian conflicts after independence, including Kashmir, the 1962 war with China, and the Indo-Pakistan wars.
It is a sober, quick stop rather than a museum. Combine it with Fort St. George and the colonial waterfront if you are tracing the city's military and imperial history.