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I can not program, but I am really going to start pushing myself to learn. But, my idea, and anyone feel free to use this, is an open source self hosted (like p2p or torrent) music, movie, fuckitanything app. This has to have been thought of already. Essentially we need to figure out how to decentralize everything. Yes, we need a central exchange kind of like a bazaar or market, but the actual exchange happens from individual to individual. And yes, there are more intricacies like group orders.
It does exist, see qbitorrent and similar apps. Torrents already fill the usecase you've defined: decentralized sharing of arbitrary files. The main problems being the central exchange and the need for seeders.
The bigger the central exchange (torrent tracker) the more susceptible you are to both internal and external threats, but you need to be big because bigger means more seeders and more content.
There are also intricacies like copyright law.
So…limewire?