His plays have influenced western culture a lot. I'm guessing you're talking about modern day western culture. For example, his stories are used a lot in movies, like "10 Things I Hate about You" and "Kiss Me, Kate" are both based on Shakespeare's "The Taming of the Shrew", "She's the Man" is based on "Twelfth Night", "The Lion King" is based on "Hamlet", and "West Side Story" is based on "Romeo and Juliet".
