A history is a chronicle of events, like the history of the United States’ mission to put a man on the moon, or the world history class that you have to memorize all those dates for.
History is a noun to describe past events, or an account of something, like the history of New York City. When you describe something as having a history, you’re implying it has an intriguing past. For example, a necklace that’s been passed down through generations has a history. But when you say something's history, what you mean is not that it no longer exists. Your fear of the water is history now that you know how to swim.