I get the impression that most VPS providers ban BitTorrent and IRC.
The entire point of having a VPS is that you're guaranteed a slice of the server to do what you want. If your provider is somehow monitoring your processes, sniffing your traffic, and setting restrictions on your applications, then I would find another one.
Amazon Web Services does not ban BitTorrent or IRC. They actually support BT as an official delivery method from S3.
http://docs.amazonwebservices.com/AmazonS3/2006-03-01/index....
I took that to include copyrighted data, including Battlestar Galactica episodes.