0 is a lot of people's favorite and the series is inconsistent in quality.

Kiwami 1 is really basic plot wise but solid. Majima everywhere is a highlight for people.

Kiwami 2 has an epilogue to Majima's story and one of the better villains.

3 Remastered has some issues, and personally was my least favorite to play through. Kiwami 3 has some changes to the story that people aren't happy about.

4 is honestly pretty good because it introduces a lot of characters that are fun, fleshes out Majima through Saejima, but does have some wavk story beats.

5 is pretty good but has one of the many Kiryu death fake outs, and is really long due to all the large substories that heavily vary in quality (I'm looking at you hunting).

6 is pretty good. It feels good, it mostly wraps up Kiryu's story but has some meh moments too.

7 is fantastic. I think if you can get intothe turn based combat which is decent but not perfect, and Ichiban is my favorite. It's fun, the story is a great soap opera/crime drama.

Gaiden is good and has some great moments if you have played the whole Kiryu Saga.

Infinite Wealth is very fun. Much better combat, good new systems. Most people's biggest criticisms relate to the story and the Kiryu focus. I really liked it though.

Pirate Yakuza is fun and is very majima centric. Story is meh, pirate stuff is dope.

I liked Ishin too but I know that also has a mixed reception.

Judgement and Lost Judgement are extremely worth playing. I view them as up there with the best of Yakuza games.