I'd recommend Hunt Showdown if you're looking for an extraction shooter. Based in the louisiana bayou in the late 1800s, so the gameplay is pretty unique. The shooting isn't quite as satisfying as other similar games, but still quite fun.

I've been really enjoying The Finals for a while now. It's fantastic and actually innovative.

ARC Raiders is coming out very soon if you want a really good extraction shooter. There's also Gray Zone, Escape from Tarkov, Hunt: Showdown, and many others in this genre, all with different twists.

ArmA Reforger I just started playing recently (I own all the other ArmA games but I was waiting on this, since it's still a work in progress, as are all modern games now though it seems). It's a platform, like all ArmA games, where you can play anything from the default Conflict game mode, where two teams fight over a map in a war that can last multiple days sometimes, or a new version of a DayZ style, or ArmA Life (basically GTA Roleplay, but it's existed in ArmA much longer), or so much else.

There's a ton of games out there. You've listed several genres, but all of them with massive budgets. The best games, in my opinion, aren't these. It's the smaller/indie games that are willing to try something new, but you have to look for them. There's been a bunch of civ-likes recently, there's tons of BRs and Extraction shooter style games (Zero Sievert is a cool solo extraction shooter, for example).

Don't just stick to the shiny games with big marketing budgets. Go find some gems in the rough and you'll be greatly rewarded.

Doesn't Counter Strike have an extraction type game mode?

Looking more for extraction PVP.

Have you tried Escape From Tarkov?

Branch out. Expand your horizons. There's thousands of games available.