Kamakura used to be the political center of Japan in the 1200s. There are numerous temples, shrines and historical monuments to see all year, as well as sand beaches to go to in the summer.
Yokohama is about 30 minutes away from Tokyo, and is also Japan's second largest city. The port area is very lively with many malls, an amusement park, museums and one of the world's largest Chinatowns located nearby.
Head to the Fuji Five Lakes area at the northern base of Mt. Fuji. There are plenty of hot springs and museums, and Fuji Q Highland, one of Japan's most popular amusement parks. Overnight in the Fuji Five Lakes area.
Travel through the mountains to Kusatsu Onsen in Gunma Prefecture, one of Japan's best hot spring resorts. Overnight in Kusatsu. Note that shortest route between Yamanouchi and Kusatsu is closed during the winter.
Enjoy a last dip in Kusatsu's high quality hot spring water before returning to Tokyo. There is an option to drop by Karuizawa, an upmarket mountain resort, along the way.
The above itinerary is somewhat fast-paced. Tourists preferring a slow pace of travel should consider spending more time at some of the destinations along the way.