I clearly remember the first lecture on Shakespeare at university. Open swung the door and in came the lecturer waving in her hands a journal with Shakespeare's signatures and portraits and out flew, self-consciously, the first sentence: "Shakespeare never wrote those plays!" What followed was a dismissive rant about Shakespeare and Stratford-upon-Avon.
This is a good book by trustworthy Shakespeareans. Not especially reader-friendly in style but quite comprehensive, well-grounded, objective and informed. The individual myths, structured into moderate-length essays (thus you do not have to read them in order), can be excellent for discussions in the classroom or lecture-room.
Academics at Oxford University believe that William Shakespeare worked with a co-author when writing All's Well That Ends
Well, here's something for Rylance to chew on: perhaps Shakespeare made it up, invented the details, as creative people are often known to do. This seems never to occur to Oxfordians, who reject the notion that a mere glovemaker's son from a provincial backwater, could possibly have had the wit to write some of the most brilliant and insightful verse in the English language.