You probably won't like the Shenmue games then if that's the case since the limited-free roam areas are structured similarly in both series, and the stories are too East Asian for most people not familiar with the style. The Yakuza series is basically like a spiritual successor to Shenmue in terms of the game design.
When it comes to the fighting mechanics of either games, personally I think Shenmue has a better fighting system since it is like a brawler version of Virtua Fighter, though still quite clunky.
Other things include that Shenmue is fully voiced acted, and the world & NPC interaction is more advanced than Yakuza.