Correct historical fact always makes me a happy panda. Anonymous didn't really cut it when sticking to all the facts.
But even if they altered some parts here and there, added bits, and changed history. I will forgive them, since they sort of have to tweak a few things in order to fit the theory in. What can I say, I'm a sucker for the Tudor dynasty.
Whether William Shakespeare was a fraud is up the individual. They gave it a good shot in Anonymous. I personally find conspiracy theories amusing, but I very rarely, if ever, believe in them.