I know that similar sites have been talked about in the past, but another forum recently brought NHK News Web Easy to my attention (thanks to gaiaslastlaugh on RevTK).

Like 毎日小学生新聞 it has daily news articles written in a simpler language for foreign learners or kids, complete with furigana for the kanji. It also has a handy button that highlights people and company names to make them clearer, plus a pop-up dictionary with simple definitions for some of the harder words.

Best of all it has an audio recording at the top of the page, so you can listen to the article as you read along.

Then right there on the page you also get a link to the original, non-simplified version of the same article on the full NHK site, if you wish to test yourself on something tougher :)