There are a number of good songs on that list that you should definitely check out. Of course, there also some that aren't really all that good but I was merely "craving" at the time. Most of it's classic rock from the '70s and '80s but, as you've noticed, there's some newer stuff like the Chili Peppers and Green Day.
As for favorite weeks, it's tough because a lot of weeks have less than five songs. However, I'd recommend the weeks of Feburary 8th, December 14th, March 1st, and May 3rd. Those are all good ones, in my opinion of course.
By the way, if you want to check out some of the songs but can't because their title is really generic, just let me know and I can give you the artist's name.