How can I view and play shared audio files through a network?

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http://unix.stackexchange.com – I've come up with a quick pet project (which might, maybe, even end up being useful at my home someday); the idea is to allow users of a Linux device (I'll call it A, and it'll probably be a small embedded one) to play music that is stored in other computers (I'll designate those by B), located in the same local network. The difference between this and straight-out streaming would be that, in this case, B would be as passive as possible, merely making the files available, and A users would be able to view shared files and select a target for playback. I haven't found ready-made solutions for (HowTos)