Low powered NAS or Web Server or OwnCloud server.
Build your very own always on Torrentbox.
Using your Raspberry Pi as a Torrent Server
Turn you Raspberry Pi into a BitTorrent server using RTorrent.
Download and provide media.
Install Syncthing Raspberry Pi
Turn your Raspberry into a downloading machine
Serve RaspberryPi as an always-on downloading machine.
Raspberry pi NAS/UPNP MP3 Streaming Torrent Box headless
Raspberry Pi and BitTorrent Sync
The Mason jar that preserves family memories
Turning your Raspberry Pi into a bittorrent seed