I was looking through some photos of our 2006 trip to Japan and noticed some lovely pics taken along the Oito line between Shinjuku and Matsumoto. This was the first time we saw Mt Fuji. The line actually runs all the way to the west coast town of Itoigawa. Very tempting. My photos are here.
Added 9/3/2014: A beautiful video lamenting the forthcoming closure of the Minami-Otari to Itoigawa section when the Hokuriku Shinkansen is opened to Kanazawa.