Yakuza 6: The Song of Life focuses on storytelling and beating the crap out of mafia goons and street thugs, but there is also an extensive layers of side-activities and minigames that could keep you busy literally forever. On top of the fact that they’re a lot of fun, they also actively contribute to character progression, meaning that you also have a practical incentive to partake.
There are a ton of full games, from Virtua Fighter 5: Final Showdown to retro classics like Out Run, Super Hang-On and Space Harrier, and basically every activity the average Japanese middle aged man would like to do, from Karaoke to darts and the batting center.
Interestingly, with retro games you can dynamically switch the screen frame and aspect ration just by hitting the bumper on the DualShock 4.
In the video below, you can check out a few that are readily available at the beginning of the game, with several more that become accessible later as the story progresses, there are quite literally a ton, and including them all in a video would probably make it 3-4 hours long.
But without further ado, I leave you with the video, which is pretty much spoiler free (the only thing somewhat related to the story you’ll see is how Kiryu enters the RIZAP gym, but that’s not exactly what I would call a major plot point).