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Google Music works with the music service launched by Google, and is a good music player. It can play music stored locally on the tablet and music in the Google cloud. It doesn't have a lot of bells and whistles but is a solid app that works well on the tablet.
The current version of Google Music displays now playing music on the lock screen on tablets running Ice Cream Sandwich, allowing interaction with the app without unlocking the device.
Free on the Android Market