Transdroid

Transdroid is a torrent manager to manage all your files from your Android, allowing you to control when they finish downloading, begin to download others, and more.

This app lets you start or quit the program, delete torrent files, label files, and even move them from one folder to another. You may also change the seed and download rates at any time and view RSS notifications.

Transdroid is fully compatible with the following torrent clients: uTorrent, Transmission, Vuze, Deluge, rTorrent, BitTorrent 6, Ktorrent, qBittorrent, torrentflux-b4rt, DLink Router Bitflu, and BT. That is to say, it will work perfectly with everything on this list.

Likewise, Transdroid has native support for sites like Mininova, The Pirate Bay, isoHunt, Monova, Vertor, ExtraTorrent, Torrent Reactor, KickassTorrents, and Torrent Downloads.

Transdroid is a very comprehensive manager for torrent files and despite not being on Google Play, it's more reliable than many other tools of this type.