Several English magazines, newspapers and a few shelves of English books. Small movie section as well. Wifi, a cafe and lots of study space inside. Searchable in English and the website google translates itself for you. You may need some Japanese to get signed up, but you can browse without a card.
More English info on services:
http://www.lib.pref.yamanashi.jp.e.fq.hp.transer.com/info/kannai_annai1.html