Rhapsody.com works using the browser. Have you tried it? The only issue for me is that the pop-up player window does not always open correctly when first clicking the PLAY button icon. I have figured out how to get it to work, though.

Click PLAY. You should see the dotted frame show or the button seem like it was selected. Most likely nothing will happen at this point. THEN, scroll the page all the way to the top. This seems to trigger some sort of refresh that forces the pop-up to display in a new browser window.

In portrait mode and on wi-fi, the player is neat. 3G there is a lot of delay, especially if you are in a moving vehicle.