My guess is that anyone who is literate has read Shakespeare at least once. I have to imagine my public schooling is not that different from the norm, and I read at least 3 works as required (Hamlet, Macbeth, and Romeo & Juliet) and some other others as my choice for assignments.

At least, in the western world. I don't know how popular Shakespeare is outside of that. On the other hand, I don't know how popular celebrity news is either.