William Shakespeare refers to the world by many names throughout his works, but some of the most prominent include:

• "This great stage of fools" - From King Lear, suggesting the world is a place where people play foolish roles.
• "All the world's a stage" - From As You Like It, perhaps his most famous quote about the world, emphasizing that all men and women are merely players. Source
• He calls the world "an unweeded garden" in Hamlet.

These are just a few examples, and Shakespeare's descriptions often vary based on the context and the specific play.