Thanks to my net friend, I came across this relatively new site for English learners.
You can read rather easy stories with audio. The owner of this site is a teacher of International Christian Univ. in Tokyo, it's situated in only 30 minutes ride of bicycle from my house.
Once you become a member, you can listen to the audio too. Articles are divided into 5 levels, but I don't see any big differences of difficulty in English, so you may enjoy any stories you like.