New for amazon prime members is Prime Radio. Streaming music of all kinds, even a broadway channel. No commercials. Unlimited skips. To get there Go to "your account", then "your music" (formerly cloud player), then click on "prime stations" in the upper left hand corner.
I can't figure out how to give you a link because the only link it creates is a link directly to my account. If you have Amazon Prime, here's what you do. Click your account, then choose your music library, then choose prime stations.