Well, saying that Flashback is a cyberpunk is a stretch. Yes, it has some of the aesthetics of the near future, but that can be said about a lot of games.

In fact, such games as Blade Runner and Snatcher both have more cyberpunk-ish atmosphere. So it's strange that no one had recommended them,

Very nice! I want to get Mirror's Edge at some point as a big fan of parkour in games. I also didn't know about that particular TRON game. Thanks for the suggestions!

A lot of major cyberpunk games have been mentioned in the thread.

I did manage to find one with a partial cyberpunkish theme and vibe. Check it out.

https://www.gog.com/game/dry_drowning

Everything that I know of that's available already mentioned, except perhaps
XCom
or, even better, the original with OpenXcom

Only other possible examples I can contribute aren't officially afaik available for download anywhere, but are still possible to get working on modern systems:
Hardwar
G-Police

Hardwar wishlist
G-Police wishlist

Flashback does indeed have Cyberpunk anesthetics (the levels on New Washington and Earth) . And strong ones.
If you say Flashback isn't Cyberpunk, I could also claim Blade Runner isn't, because it doesn't include cyber-hacking or whatever.
But "Cyberpunk" is indeed much more than chads going around with implants on their brain :
https://www.merriam-webster.com/dictionary/cyberpunk

And you're correct - "Snatcher" is also a Cyberpunk game (I won't mention Blade Runner because OP had already wrote he was aware of it).

And I almost forgot Rise of the Dragon

https://www.gog.com/game/rise_of_the_dragon

To this day I still see it as one of the best (and least known) adventure games ever made. A futuristic detective game, with supernatural elements, set in a "Bladerunneresque" setting.

I like Shadowrun.

Oh nice! I like that it's a visual novel not in the anime style. Nothing against anime, but it's just not really my thing, I tend to prefer western art styles so that's automatically a plus IMO!

I've heard of XCom but never actually played it. I have it on my wishlist though. And as for the other two, I'll vote them up and look into getting them, thanks!

Nah, I don't mind, I'm not a real hardcore TRON fan so I just enjoy the stuff where I find it. I'll definitely add those two to my list and I'll keep an eye out for DataJack, many thanks!

Sweet, that sounds awesome, I added it to the wishlist!

Oh yeah, I love the Shadowrun trilogy! I haven't finished any of them yet but I love the concept and atmosphere.

you're welcome! have fun and stay safe.

BTW, there were NES and SMD games in the ShadowRun universe. both were good, but IMHO the SMD one was better. no, it was great.

Yeah, I heard that, I'm sure I could get it running via an emulator or abandonware site until they get it up on GOG or wherever else.