MyuZik-Music on Demand is a much better music app to listen full songs on choice. You can explore artists by reading their biographies, news and events. Can view and save lotsof artists pictures. And can listen full songs on choice. More than 3 million artists are available to explore. And more than 10 millions full songs on choice are available to listen.
Also you will get similar artists recommendation ( just like Pandora radio or last.fm recommend similar artists ) in an awesome beautiful simple UI.
Check out MyuZik- Music on Demand app on this link: MyuZik - Music on Demand for iPad on the iTunes App Store