Kyoto is the former capital of Japan and - even though it is a large and modern city, it feels small and traditional. You can find lots of temples, kimonos and geishas, all you need for some great pictures. Between Kyoto and Osaka is Nara, another former capital worth visiting.
The Tokyo metropolitan area with 30 million people is probably the largest city in the world. You can find the best hotels, the finest restaurants and the most luxury cars, watches, clothes, just as electronics etc here. There is also lots of night life, some great temples and the world famous fish market (for the best sushi).
Osaka is the 2nd largest city of Japan with a large harbour. Tourists may like the Osaka Castle, Large Wheel and Aquarium with a whale shark.
Hakone is a small city over a larger area. It features many hot springs and is home to lake Ashi, where (pirate) cruise ships can offer a great view of Mt. Fuji.
Hiroshima is by foreigners known for one thing: the nuclear bomb that was dropped by the US Americans on August 16th, 1945 with the intention to end the 2nd world war. The city recovered, but monuments are still visible.
Mount Fuji is the highest mountain / active volcano in Japan, standing at 3,776 m. It is commonly known as one of the most famous cultural icons of Japan. Many Japanese and Tourists cliomb the volcano.