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Google Play Music
If you buy music from the Google Play Store, this app is a great way to listen to it.
It streams music stored in the Google Cloud, and also plays music stored locally on the Nexus 7.
It is integrated in the Nexus 7 lock screen, so you can play/pause music without unlocking the tablet.
TuneIn Radio Pro
This app streams radio stations from all over the world right to your Nexus 7. You can find stations by genre, country, artists, etc.
The local station feature uses your current location to give you a list of radio stations for streaming.
Stations can be saved as favorites for instant access.
If you use Facebook you must get this app. FriendCaster uses the Nexus 7 screen better than the Facebook app, and turns Facebook into a very entertaining pastime.
FriendCaster Pro may be the best Facebook app on any platform.