Tribler is an Open Source file sharing app that uses Tor-inspired onion routing to search and download torrents with fewer worries or censorship.
Tribler is a research project of the Delft University of Technology. Tribler was created over nine years ago as a new open source Peer-to-Peer file sharing program. During this time, over one million users have installed it successfully, and three generations of Ph.D. students tested their algorithms in the real world.
Tribler is the first client who continuously improves upon the aging BitTorrent protocol from 2001 and addresses its flaws.
Please note that while it does try to offer privacy, there's certainly no guarantee.