Alright, OP, here's even more stuff to put on the pile:
F.E.A.R. is a horror FPS that is not technically a console exclusive, but the ports are kinda doodoo, so it might as well be. I honestly thought the horror elements were a bit weak, and I'm generally averse to games with such slow movement as this one. However, the level design definitely accommodates your movement speed, and it has really top notch gunplay with one of the best feeling shotguns I've ever used in a shooter. The bullet time mechanic is also really well done and makes the combat feel really meaty.
Speaking of bullet time, this is also not an exclusive, but I would feel bad if I neglected to mention Max Payne. It was one of the first games to implement the mechanic, and in my opinion it still feels better than a lot of games that have done it since. Dodging bullet fire while gunning down baddies with two SMGs in slow motion never gets old.
Blood is another horror-themed shooter, but it has no actual horror moments like F.E.A.R., rather just a general spooky atmosphere. Since you mentioned you like boomer shooters, this one's a an essential entry of the genre. It also has one of the best shotguns ever. Check out the other games in the Build holy trinity (Duke 3D and Shadow Warrior) as well if you haven't.
Carmageddon is a game where you run over cows and grandmothers while listening to Fear Factory, which is really all you need to know about why I recommend it.
Papers, Please has you working at a border checkpoint and analyzing people's paperwork. It sounds really boring on paper, no pun intended, but it actually has really excellent and immersive storytelling throughout that makes you invested in the world.
Left 4 Dead 2 is a classic you probably already know of, but it's absolutely worth playing if you haven't already, even more so if you've got friends to do it with. And while I'm on Valve, Half-Life, Portal, and their respective sequels are also no brainers.
Streets of Fury is a quirky beat 'em up with a lot of influence taken from fighting games. The tone is very silly, but the gameplay is surprisingly deep, with some very cool combos you can pull off. You can also play as the Nostalgia Critic, which is pretty funny. Very unique and very underrated.
There are many others I could list, but people have already given a lot of good ones, so these are just some of my personal favourites.
This site is a pretty great database of information on various emulators.