Bikan historic area
Japan Rural Toy Museum
Has a collection of over 40,000 toys, although only 5,000 or so are generally on display. Most are show-pieces and occasionally eerie ones at that, but there are some that kids can play with hands-on.
Ohara Museum of Art
Houses a deservedly renowned collection of classic European and American art, including major works by Picasso, Renoir, Monet, Matisse, and many others. There's another building for exhibitions by modern Japanese artists, which tend to be very good. Set aside some time to wander the grounds as well, with Rodin statues out front, a small sculpture garden out back, and neoclassical columns beatifically out of character with the rest of the area.
Archaeological Museum
Housed in a particularly lovely old rice warehouse, this museum has Japanese, Chinese, and even Incan artifacts on display.
Kojima Torajiro Memorial Hall
Dedicated to the work of the Japanese artist who directed the acquisition of most of the Ohara Museum's collection.
Even if you're not interested in the subject of a certain museum, the chance to explore inside these old warehouses and mills might be worth the price of admission. Note that virtually all of the museums and many of the stores are closed on Mondays, which does at least mean fewer crowds and photo hounds competing for that perfect shot at the foot of a bridge.
For a terrific view of the entire Bikan area, head up the granite stairs on Mt. Tsurugata to the Achi Shrine, and have a wander around the park at the top.
Kojima area
The Kojima area is located along the Seto Inland Sea, served by JR Kojima Station, and offers many great views of the Seto Ohashi Bridge. If you choose to travel from the Bikan area to the Kojima area by train, you can only reach it via Okayama. Take the Marine Liner from Okayama to Kojima Station. Bus #6 from JR Kurashiki Station runs to JR Kojima Station, if you prefer a street-level view while traveling between the two locations.
Seto Ohashi Memorial Bridge Museum
Known as the first museum in the world dedicated to a bridge, it offers information about the Seto Ohashi Bridge, along with general information about bridges and models of famous bridges throughout the world.
Yugasan Rendai-ji
A unique complex composed of both a shrine and a temple. The torii gate is made of Bizen pottery. The shrine is a sister shrine to the famous Konpirasan in Kotohira. It is also the 6th temple along the Chugoku Pilgrimage Route.
Tamashima area
Entsuji Temple
Entsuji Temple is famous as the site where the famous poet Priest Ryokan wrote many of his most famous poems. From the temple grounds, there is an impressive view of the factories in the Kojima area which is quite beautiful, despite how it may sound, as well as the Seto Inland Sea. This temple is also the seventh temple along the Chugoku 33 Kannon Temple Pilgrimage route.
Saisou-tei
This is one of Kurashiki's true hidden gems. The Saisou-tei is where local clan leader, Kumata Ataka committed seppuku, which prevented a war from breaking out in the Tamashima area. What makes it so fascinating is that the building has been preserved so that the actual blood stains from the seppuku remain visible on the ceiling; a rare sight. When you enter, you will be given a short tour in Japanese only however, after reading this, you should be able to follow along and see what they are showing you when they point towards the ceiling.