I haven’t played it myself, but I’ve seen playthroughs of The Last of Us. Even though there’s a sequel, I’ve heard the first one is better. Anyway, if engaging story is what you’re after, I’d check that out.

I’ve also never played this one, but I’ve heard SpecOps: The Line is also a gutpunch.

It’s a bit of a commitment, but I always found the Halo series to be kinda emotional to me, but then I also grew up with it and got invested in the characters. Your mileage may vary with Halo.

Final recommendation would be Ori and the Blind Forest if you’re into platformers.

The Witcher 3 has some really emotional scenes, and an immersive soundtrack.

I would wholeheartedly recommend the A Plague Tale duology (Innocence and Requiem). They both had a lasting impact on me (especially Requiem) and the OSTs are the overall presentation is really great IMO.

I’m not super familiar with the examples you gave but I’m gonna say anything from Supergiant Games: Bastion, Transistor, Pyre, Hades. Fantastic music always, I would say the storytelling is done best in Transistor and Hades.

Since you’re ok with horror, I highly recommend both Detention and Devotion by Red Candle Games. Both of them start out as horror, then gut punch you as you realize what’s going on. Devotion is an amazing example of domestic horror (the horror that can happen inside the home), and Detention is the horror that people do when they don’t realize the consequences of their actions. Devotion has stuck with me, and to this day the last line makes me want to cry.

Mass effect and dragon age series from bioware are excellent, they’re a little involved but the story telling is incredible in both. While it has aged and may be depending on a love for star wars, their knights of the old republic series was also excellent.

They’re really damn good at making a story that’s worth being part of, often one of my first recommendations aside from the last of us, outer wilds, and a couple of others I’ve seen here already.

If you’re okay with “walking sims”, Dear Esther is the only game that ever brought a tear to my eye. I played it shortly after someone close to me died and the ending really hit me.

It’s basically 100% “emotional writing” so it might be up your alley.

Maybe What Remains of Edith Finch? Also, maybe it was just a weird time in my life, but I think I bawled hardest at the end of FFVII: Crisis Core back in the PSP days. Braid is an emotionally weird one as well.

I thought Ori and the blind Forest was rife with emotion

The first walking dead game from telltale was good, but if you’ve played anything they’ve done its largely the same.

Papers please can get emotional, but it’s mostly intense pressure.

Final Fantasy X still holds my personal ugly-cry record. To this day, I can’t hear some of the music from it without tearing up. It’s one of those games that has emotional react videos on YouTube.

Shadow of the Colossus manages to be emotional with very little explicit story. A lot of it has to do with its use of dynamic music in an orchestral soundtrack.

Persona 3 just had a remake, and that’s part of a series that can really gets its hooks into you. A big part of it is the parasocial gameplay, but even if you’re not the type to get into that, the story is still very moving. Persona series composer Shoji Meguro recently said the ending theme in this game was his magnum opus.

You might like Inmost.

Life is Strange made me cry. It has a good soundtrack too.

Immortal Defense.

Huh. Hardly ever met anyone who watched Hana-bi, let alone liked it as much as I did. And Outer Wilds is one of my favorite games of all time.

I found “Journey” to be very emotional at the end. Also, although it’s real slow and not everyone’s cup of tea, “Everybody’s Gone To The Rapture”

If it’s emotional you want, you can’t beat To the Moon and its sequel, Finding Paradise. They’re walking sims, but they’ve got great stories that’ll make you ugly cry

Before Your Eyes

Borderlands 2, then the expansion Tiny Tina’s assault on dragon keep.

I’ll give a recommendation for something that hasn’t been posted yet. Danganronpa: trigger happy havoc is a very emotional game and has a well written story that takes you on a journey.

Brothers: A tale of two sons.

Only game that ever made me cry alone.

This War of Mine

Haven’t seen Spiritfarer mentioned, worth checking out.

I immediately thought of Arise: A Simple Story.

There’s no dialogue, but the imagery and soundtrack are very powerful.