Usenet.
[1]: http://www.theregister.co.uk/2007/10/17/big_record_labels_fi...
[2]: http://www.theregister.co.uk/2010/03/30/usenet_search_engine...
Many Usenet providers make a 'will not track' promise to their customers. This is from Giganews' homepage, for example: "We will never sell your information to third parties or track what you download." http://www.giganews.com/
A law could be passed requiring Usenet providers in country X to log downloads, but then you could just use a server hosted in some other country.
Preventing people from copying information is like preventing water from being wet. You fail.