I certainly recommend climbing Mount Fuji which is a little off the beaten track, even if you aren't staying in Tokyo because the extra cost of traveling there is offset by s discount on the admission. Climbing it is an arduous task but the view is worth it. In fact, my friend who's just been there showed me his photos taken there by which I was awestruck. He said it was well worth it for the view from the top and the confidence that he had gained afterwards. Even though one of the nearby lakes dries up, the remaining lakes reflect the beauty of the stars and Mount Fuji, giving a double view of the starry sky and the mountains. The outline of Mount Fuji is sharply defined against the starry nights by which you'll be awestruck. You can even pitch a tent and camp there to get the best of the night sky. Sometimes it's nice to be away from the hustle and bustle of the city. Again, the cheap admission charge offsets the rising transportation fee so it's definitely worth a visit.