Use private browsing, or you’ll often hit a “paywall” after 1-2 articles.

Simplified news for learners

• Times in Plain English: http://www.thetimesinplainenglish.com
• Japan Times ST: http://st.japantimes.co.jp/news/
• Breaking News English: http://breakingnewsenglish.com/
• VOA: http://learningenglish.voanews.com/
• News in Levels: http://www.newsinlevels.com/

Japanese news

• NHK World http://www3.nhk.or.jp/nhkworld/
• Daily Mainichi http://mainichi.jp/english/
• Japan Times http://www.japantimes.co.jp/
• Japan Today http://japantoday.com/
• News on Japan http://www.newsonjapan.com/
• Yomiuri http://the-japan-news.com/
• Nikkei: https://asia.nikkei.com/

News Wire Services

• Reuters http://www.reuters.com/
• AP https://apnews.com/
• Kyodo https://english.kyodonews.net/
• EFE https://www.efe.com/efe/english/4 (also in Spanish)
• DW https://www.dw.com/en (also in German and other languages)

News Indexes

• Google News http://news.google.com/
• Newsmap: http://newsmap.jp/
• Wikinews http://en.wikinews.org/wiki/Main_Page
• ESP news sources (difficult) 

Specialist Magazines

• New Scientist: http://www.newscientist.com/
• Scientific American: http://www.scientificamerican.com/section/lateststories/
• Science Daily: http://www.sciencedaily.com
• Science Magazine: http://www.sciencemag.org/content/338/6114.subject-index
• Economics: http://www.economist.com/
• Monga Bay: https://www.mongabay.com/ (environment)

Specific Country News

For news from specific countries, the Guardian has a list of good quality newspapers for each area https://www.theguardian.com/world/series/world-news-guide, but note that many of these are not even trying to be neutral on some topics.

For TOEFL

Some US Student Newspapers might have useful vocab and topics for informal campus tasks:

• Harvard: http://www.thecrimson.com/
• Yale: http://yaledailynews.com/
• Kansas: http://kansan.com/
• UCLA: http://www.dailybruin.com/