While Google Music has a hard limit, if you use Google Music All Access you don't need to upload your songs, you can add any music they have to your library wit

While Google Music has a hard limit, if you use Google Music All Access you don't need to upload your songs, you can add any music they have to your library without that counting as part of your 20000 songs limit. I don't know anything about iTunes Radio, but I have a feeling it's fairly similar in that respect.