毎日小学生新聞

The Mainichi Elemetnary Student's Newspaper is a nice starting point for newspaper reading. Readable for intermediate learners (probably past JLPT 3), furigana, pictures and interesting content.

Website: http://mainichi.jp/life/edu/maishou/

Sample: http://mainichi.jp/life/edu/maishou/etc/pdf/mon.pdf

Subscribe (Japan only):  https://form.mainichi.co.jp/annuncio/koudoku/form.html