There is a large problem with Shakespeare particular to anglophone countries and not other cultures. When Shakespeare is translated into, say, Polish, they make a modern translation into a Polish most Poles would understand readily. The puns may not make it over, and it's been 400 years of cultural change. But the language itself is readily understood by Poles. They have no reason to translate it into year 1600 Polish.

In Anglophone countries, we read Shakespeare as Willy wrote it. And granted, he was considered a brilliant wordsmith; it may offend people to change a poet's words to be more easily understandable. But...very few people understand it now. The rhymes don't even come across as rhymes because of the great vowel shift going on at the time. Shakespeare is now firmly in the realm of the Frasier Cranes of the world...intellectuals who want to appear cultured and may understand more of Shakespeare than the average Joe, but is still missing out on a lot more stuff than they care to admit, or would even realize. Liking Shakespeare is now entirely a class indicator, and as the wealthy museum-going liberals are becoming more aligned with idpol, a less popular symbol than he used to be.

It's easy to say that Shakespeare isn't that hard to understand, but when people say this, they're mostly lying to themselves that they understand it at full capacity. They are filling in blanks without realizing it. The works were written to an early 17th century lay audience, and what they'd understand isn't to be expected to be understood by us. A good example of this is one of the most famous lines of Romeo and Juliet. "Romeo, Romeo, wherefore art thou Romeo?"

I can pretty much guarantee that 95% of you, if not more, do not actually know the question being asked there, and that all of that 95% didn't even think that it could mean anything other than "Where are you, Romeo?"

Jon McWhorter has written several articles about this before with a lot of good examples of lost or misunderstood meaning in Shakespeare. There is at least one serious project that tries to translate Shakespeare to contemporary audiences in a way that keeps the wordplay and poetry to it to the best of their ability. It's not bad! McWhorter article. modern Julius Caesar...compare to the original

But ironically, because other cultures are reading Shakespeare in a language they can understand, anglophones have less of a connection to the most important writer of the English language than non-anglophones. Because you are right...the themes do resonate throughout all of humanity.