Shakespeare is still relevant because of his work's lasting impact on literature and the English language. Many modern works are based on Shakespeare's plays, while many words and phrases still used today were first coined by Shakespeare.
Several famous movies have been based on Shakespeare's work. For example, Disney's "The Lion King" is an adaptation of "Hamlet," while "10 Things I Hate About You" is a modernized version of "The Taming of the Shrew."
Shakespeare also left a lasting impact on the English language. For instance, the phrase "break the ice" comes from "The Taming of the Shrew," and jealousy is referred to as a "green-eyed monster" because of a line from "Othello." Shakespeare invented the words gloomy, zany and fashionable, among many others.