If you like reading non-western news, here are som International versions of Japanese newspapers:
Yomuiri Shimbun is a daily Japanese newspaper based in Tokyo. They publish an english version The Daily Yomuiri. If you can read Japanese characters, you might like to try Yomuiri Shimbun in it's original Japanese.
Asahi Shimbun is the second-largest circulation daily paper in Japan, also based in Tokyo. The have an online English version. You can also visit the Japanese paper here.
Mainichi Shimbun is the third-largest circualtion daily in Japan. You can read the online English version and view the Japanese version here.