Infinite Wealth was a very fun game but it's honestly one of the worst stories they've written in the series with plot lines that were incoherent with the situation they've wrote themselves into. Not to mention the amount of time they spent on the Hawaii side of things having a very plain and unexciting wrap up. It's only redeeming points are all the numerous call backs to the earlier games which is lost if you don't play the earlier games.

I highly recommending playing in a modified release order.

• Kiwami 1
• Kiwami 2 (skip the Majima Saga for now)
• 3 - 5 (these don't age as well and the stories are quite a nose dive compared to the previous 2, so I think it's fine to skip them if the gameplay isn't really for you)
• 0
• Kiwami 2's Majima Saga
• 6
• 7 (known as Like a Dragon in English)
• Gaiden
• Infinite Wealth

There's also Ishin which is fine to play anytime since it's a spinoff but it casts characters from the main games to play historical characters so there's a neat bit of irony if you know who the characters are in the first place. So playing it after 7 would be the best time.

And then if you still want more, Judgment and Lost Judgment takes place in the same world and use the same brawler style gameplay but follows a detective instead.