Bandai Namco has released their second video recapping the history of the Tekken franchise to accompany the release of Tekken 7. If you want to see the first 8-bit video, follow this link.
This video starts around the time of Tekken 4, when Kazuya defeated the True Ogre and Heihachi Kazuma, Kazuyas father, spliced some of the True Ogre's blood samples with his own, trying to make him immortal. He announces another King of Iron Fist tournament, and hilarity ensues.
I've got to say, though, the most intriguing thing about this game are all the supernatural daddy issues. Seriously, Heihachi trapped his dad underneath a mountain, and then he tried to kill his own son Kazuya (Kazuya ends up killing his grandfather in the tournament, even more irony for you). Now in Tekken 7, Kazuya is looking to finish the job. When will all this end? Maybe it's because they're all possessed by some devil-gene.
Here's the video: