I am, of course, a Colonial, exiled from the Mother Country across the Pond. And so there's no expectation that I would speak the English of Good Queen Bess.
Interestingly, Her Majesty Elizabeth II Regina doesn't speak the English of Good Queen Bess, either.
Shakespeare is a lot dirtier than you get from watching Sir Laurence Olivier. It's much less bloodless, meaning a lot earthier and a lot bloodier. If you do it right. The lovely and trying-to-learn-her-lines Mrs. Borepatch is finding that the original iambic pentameter doesn't always work. I suspect that's because the Mother Tongue has shifted over the last four centuries.
People in times long past are perhaps not so very different from people today. Putting Shakespeare on a pedestal does him - and them - a disservice. Of course, this is all just one minute of the indispensable The History Of English in Ten Minutes: