One of the earliest forms of technology which was used in the last decade for sharing and accessing infringing content was Peer2Peer, popularly called as BitTorrents ( now Magnetic Links are available which eliminate the need for .torrent files to be stored on a server). It is still popular today, because it can offer even more improved speeds than the download limit of a centralised streaming server. P2P is also much more tolerant towards resuming broken downloads. However, the liability of infringement is much more, because unlike downloading a file or streaming a movie, in a P2p swarm, at some point, a lecher becomes a seeder as well.
P2P and Torrents have come to be strongly associated with Piracy to a point that even if a company originally associated with it wants to evolve into a legitimate product, faces immense challenges.
Based on P2p sharing technology, The BitTorrent company had introduced a serverless cloud solution called Sync, a few years ago. Since a server was not involved here, the speeds of transfer were immensely much faster than traditional server based cloud solutions. However, it appears that the stigma of BitTorrent continued to hamper the name of a truly path breaking, legitimate file sharing solution.
Resilio Sync, Formerly BitTorrent Sync
Some time back, Sync was seperated and made the flagship of a new company called Resilio. It still uses the same P2P technology, but its branding is no longer associated with BitTorrent.