Who, or what, characterized the ninja as we see them in entertainment?

TV and movies always over glorify everything, use little fact and exaggerate. So it’s no surprise then, that the entertainment ninja barely represents anything that a ninja actually was. Some core elements remain, but for the most part it’s probably all pretty inaccurate. Thing is, I don’t really know any movies about ninjas, besides stuff like Teenage Mutant Ninja Turtles.
Except when I do see them in video games and movies, I wonder, who or what made them like this?
I understand why this happens…but who did it? Who revolutionized the entertainment ninja?
I was reading that plays and novels about the ninja have existed for quite a long time though, especially in Japan, loooong before television ever existed. Is there anyone famous known for making ninjas what we see them as today? How did they end up like this?