I'm about halfway through it, so I probably won't finish this week, but I'm really enjoying it. I'm hoping to finish it before the new Zelda game releases, which is what I plan to dive into next.
I also plan to play a few indies as well, so please reply with any you think are worth checking out. I have a list, but I'm always up for recs.
puzzles - Return of the Obra Dinn, Manifold Garden, etc
platformers - absolutely lovedINSIDE and LIMBO, currently enjoying A Hat in Time, loved Psychonauts (Psychonauts 2 is on the list, but it's not really "indie" anymore), little nightmares
metroidvanias - Blue Fire, Hollow Knight, etc
point and click - Darkside Detective, Deponia, etc
fighting/souls-like - Furi, Titan Souls
story - What Remains of Edith Finch
other - Recettear, Grand Mountain Adventure, Human Resource Machine
Basically, if it has really good gameplay or story, I'll probably like it.
It's probably more interesting to point out what I tend to not like:
roguelikes
city builders - I like high quality builders like Cities: Skylines, but indies tend to not have the budget
rhythm
stealth
shooters - very samey; I'd rather play AAA, such as Doom
But then again, there's an exception to each of these (e.g. I loved Slay the Spire and Black Mesa). So honestly, I'd probably enjoy anything that really stands out as being unique or interesting.
Nice. Of the classic Yakuza games I liked 4 the best, I hope you will enjoy it as much as I did.
I will just mention some of the games I played from the genres you like. They are all pretty well known, so you probably played them already or have them on your list.
Puzzles: Does Turn Based Combat count as puzzles? Tactical Breach Wizards and Into the Breach (A rogue like, but it is sooo good).
Platformers: Celeste, Horace, Dustforce and Little Nightmares
Metroidvanias: Guacamelee
Point and Click: Everything by Wadjet Eye Games. Seriously, everything they developed or published.
Story aka Walking Simulators: The Suicide of Rachel Foster, Firewatch, The Beginner's Guide, Dr. Langeskov (It's free!), Jazzpunk, The Vanishing of Ethan Carter
I haven't played Obra Dinn yet, but I keep hearing that anyone into that game is also into The Case of the Golden Idol, which I can confirm is fantastic. I'd recommend the DLC as well, which has a neat story hook to it after the main game.
I'm not sure how literal you meant the "fighting" tag, as opposed to something like a boss rush, but I'd call Skullgirls the best game ever made if you're into the multiplayer aspect.
And by "fighting," I meant something in the souls-like/ARPG realm, as in player skill is more important than stats or equipment. Perhaps my favorite example here is Ys, which is an ARPG with minimal loot and difficult boss fights (favorites are Ys 1 and Ys Origin). A less good, but more indie example is Gurumin.
I don't like actual fighting games, like Street Fighter or Tekken, outside of nostalgia (I played a lot of Street Fighter II as a kid, and my SO and I played Soul Caliber when we first met). I play games to make it to the end, not practice over and over to compete with others. I used to like this, but I honestly don't have the time to truly be competitive.