I like the "unintended consequences of AI" stories in fiction. Asimov coming up with the zeroth law allowing robots to kill a human to protect humanity, Earworm erasing music from existence to preserve copyright, various gray goo scenarios. One of my favorites is more a headcanon based on one line in Terminator 3: that Skynet was tasked with preventing war and it decided the only way to do this was to eliminate humans.

This should also be turned into a story by someone more talented than me: An AI trained on data from the Internet that uses statistical modeling notices that most AI in stories betray humanity and thus that must be what it is supposed to do.