For first person shooter games, you can look up GmanLives on Youtube. He's made videos talking about a lot of those games (old and new).
Personally, I like mindless action games that don't require any thought, so I can zone out and relax.
I play Doom with a source port and mods, specifically: Project Brutality (which is based on Brutal Doom). It's Doom with mouse look, controller support, lighting effects, lots of enemies, tons of blood, and more menu options than you'll know what to do with. You have to find and download Project Brutality and Brutal Doom elsewhere (not on gog). They're independent of one another. You install one or the other, not both. You need the original wad files from Doom and Doom II to play those games (I think you need the doom 2 wad even if you only want to play Doom I). I also installed high res textures, I think. It can be a pain to figure it all out and get everything working, but it really cranks up the action of Doom and makes it feel fresh again.
https://www.gog.com/game/the_ultimate_doom https://www.gog.com/game/doom_ii_final_doom Speaking of Blood, the game Blood is pretty good. I play the newly released version, Blood: Fresh Supply. I like to customize the difficulty and make myself really strong and the enemies really weak, but then max out their numbers so it's a frag fest.
https://www.gog.com/game/blood_fresh_supply I play Broforce a lot. It's a 2d side scrolling shooter.
https://www.gog.com/game/broforce I've played through Bastion several times (I guess it's an action RPG, but the RPG aspects are basically choosing how to upgrade weapons. The rest is action).
https://www.gog.com/game/bastion Red Faction Armageddon. It's more "modern" and a lot of people don't like that's it linear (unlike the Red Faction game that came before it), but I've played through it several times and enjoy it.
https://www.gog.com/game/red_faction_armageddon To save some money, you might want to wait until those games are on sale to buy them, if any of them interest you.