The city’s main claim to fame, is the splendid castle that sits on a hill overlooking it. In fact, the castle is visible from the Shinkansen tracks! If you only visit one castle in Japan, make it this one. It has extensive grounds, and an interesting display of items in the main dojon. The view from the top of the castle over the whole of Himeji is splendid.
To get the castle, you can walk straight down the main drag for about 15 minutes. Alternatively, there is a covered arcade the runs parallel to the main drag, which is quite useful, if the weather is not cooperative.