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If you have an Amazon MP3 account you must get this app. You can stream music from your Amazon Cloud Drive to save storage space on the Nexus 7, or download some tunes locally.
Locally stored music can be played without a network connection, so I while I usually stream music I can always listen to favorite albums without a network.
Free (Amazon Cloud Drive account required)
The Pandora service has been around for a long time, and I've been enjoying it for years.
This app allows streaming Pandora music on the Nexus 7, with full control over your stored stations.
If you have a Sonos sound system in your home you must get this app. It provides complete control over your system and the music you play with your Sonos setup.
I almost always have my Sonos playing, and run it with ease from my Nexus 7 with this app.
Free (Sonos system required)