The Fukushima Prefectural Museum (福島県立博物館, Fukushima Kenritsu Hakubutsukan) in Aizu has an extensive permanent exhibition that illustrates Japan's entire history, stretching from archaeological finds from the Jomon Period (300 BC) to artifacts of daily life in the 1950s. The building is big and spacious, allowing the museum to feature quite large and impressive displays.
In addition to the permanent exhibition, there is space devoted to hosting varying temporary exhibitions that pass through. The Fukushima Museum presents an interesting and informative survey of Japanese history and culture, as well as the particularities of Fukushima Prefecture. A thorough English pamphlet is available which explains most of the permanent exhibition.