Kanken Journal is a free magazine published by the people who run the Kanji Kentei (the official kanji proficiency exam designed to be taken by native Japanese).
http://www.kanken.or.jp/project/edification/journal.html
Each issue includes
-Feature articles
-Japanese grammar/kanji usage articles
-Kanji puzzles/riddles
-Sample questions for every level of the Kanken
Great reading practice with kanji exercises at the same time!
So far my favorite article was an explanation of the ~たり grammar point and how its misuse can lead to confusion. (vol. 19)