Rhapsody giving away 365 free MP3s
According to Rhapsody, "No matter what your musical preference -- hip hop, classic rock, techno, etc. -- you'll appreciate free tunes from Rhapsody that range from Estelle and Kanye West to U2 and Green Day."
You don't need to be a Rhapsody user or subscriber to benefit from this offer since all of the downloads are DRM free mp3s that will work on any mp3 player including your iPod or iPhone. The freebies come one at a time and are only available for 24 hours so you'll need to make sure you visit the "Rhapsody Free Music Download" page each day if you want to take full advantage of the offer.
If you're looking for more free music check out WalletPop's guide to free music.