That we should even be considering this question raises my ire! Absolutely not! If anything, he even more relevant now than before.
If anyone is seeking hardcore proof that educational standards are dropping like knickers in a bordello, this is it kids. The idea of bestowing an English degree whilst detouring around The Bard is tantamount to building a highrise without a foundation. It is the very definition of madness deferring to that which is laziest in our natures.
Rich, powerful and lyrical, our language found its fullest and most perfect expression it the hands of this genius. Beyond that, the themes that run through his works are handled with such depth, clarity, insight and universality that they should assure him a place on our bookshelves for as long as man lives.
So . . . . for anyone foolish enough to suggest that this literary master is "irrelevant" I say let them be hoist by their own petard until Birnam Wood do come to Dunsinane!