Here are some useful websites for studying English from current news stories:
1) English Current - www.englishcurrent.com レッソンは英検二級から1級までまでです。
2) Voice of America Special English www.voanews.com/learningenglish/home/ レッソンは中級です. ニュースは全部アメリカに関係があります。
If you know of any other sites, please write them here. The BBC has a "Learning English" website. But the site does not actually have any articles for learning English from news stories.