Well, think about it, you've got a funny uptight old English guy with a wig, who likes young boys, who a lot of people think is a fraud, and who is the most important writer ever anywhere. That's a comedy goldmine!
Beyond that, Shakespeare wrote a lot of comedy, and people have been biting off of that for years. Hamlet inspired thousands of self-important angst-filled losers, which is a category that's easy to parody.
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