Free on-line music

Chilirec records music from your chosen stations and let's you set up playlists to playback. Free online storage of your stuff. I'm in the process of testing this out now. After about 13 hours, I already have 40,000 songs recorded.

Grooveshark already has millions of songs available and ready to be listened to, once you find them. However, I'm not sure about this one as finding the songs you want is not as simple and streamlined as I'm sure it could be and there doesn't seem to be a search function.
In addition and most seriously, in the few attempts I've made to play music on this site, the songs have stopped after 20-30 seconds for about 10 seconds. This is definitely not good. Let's see if this is just a temporary problem.