iHeartRadio is an old favorite of mine that lets you stream radio from over 1,500 live radio stations or create custom stations based on a song or artist. The best thing about it, though, is that your custom stations are completely ad-free.
Live radio stations from all over the U.S. are available, including everything from pop, country, rock, electronic, and urban, to talk and college stations. You can browse by genre or location and listen to music until you hit a song you don't like, then hit the Scan button to move on to another radio station (no matter the location) that offers similar music. If you like a particular station, you can save it to listen to again later.
Creating custom stations is incredibly easy as well. Just pick a song or artist and iHeartRadio assembles a playlist from a library of more than 15 million songs and 400,000 artists. When you're listening to a song, the app has a feature called the Discovery Tuner that lets you set how much lesser-known music is included in your station. That means you can just hear the hits most everyone knows, or you can hear music that's not so mainstream, and the controls are always available for you to switch. There's also a skip button (with no limitations) so you can move on to the next song whenever you want.
With iHeartRadio, you won't be able to choose your song directly (the way you can with a subscription to Slacker), but you do get features the other apps don't offer for free. While a song is playing, there's a button onscreen that lets you create a new custom station, view the artist's bio, view the song's lyrics, and buy the song from iTunes. A recent update to the app also lets you set a sleep timer so you can listen to your favorite station and have it turn off after a preselected period of time.
iHeartRadio is not new to the App Store, but what started out as a strong streaming-radio app has only gotten better over time. If you want an excellent streaming-radio app and don't mind not being able to pick songs directly, iHeartRadio is a great choice.