The judges' decision is thought to be the first time an English court has ever blocked an extradition request from a foreign government on the grounds that it would violate Article 6 of the European Convention on Human Rights, which safeguards the right to a fair trial.
Conservatives on South Gloucestershire Council said they were angry that a request to lower their flags, in line with national instruction, was blocked.
Google, which owns YouTube, rejected a request from the White House to remove the film from the video-sharing site, but blocked access to it in Libya, Egypt, Indonesia, India and Saudi Arabia.