Hakone itself is a neat place to visit. All my Japan stuff is packed away currently
I agree that the Peace Park (look for the scarred tree - it survived the blast) and Miyajima would be two good places to start. There's a restuarant in the hills above Iwakuni (where I was stationed) that is renown for its fugu (puffer fish). Been there several times, but never had the nerve to try the stuff (deadly if not properly prepared).
I'm itching to return to Japan, just have to clear a hole in my schedule...