While the concept of replaying the finest moment in a given match has been popularised in the gaming space through Overwatch, it's likely not many would say that they own the idea, although Gamasutra has revealed that Blizzard is indeed currently attempting to patent 'Play of the Game'.
Actually, the patent application was filed all the way back in 2016, but has yet to be reviewed by the United States Patent and Trademark Office, so it's up in the air whether Blizzard will be successful in their endeavors. For more detail about the filing, you can always check the full thing right here, where it's listed as "Docketed New Case - Ready for Examination".
What do you think of Blizzard's application for the patent?