You could do some anonymous block-chain ledger type-service, really doubt that it would win over simply bit-torrent though, and ultimately I'm kind of biased since I really would prefer that real creators get to exercise their rights.
Also, if people are looking for something to use as a primitive, I'd much rather they look at Freenet. :)
No, there is something. You could use the blockchain as a decentralized torrent tracker.