Not sure how long it's been since you've tried Linux, those all actually work perfectly out of the box. Even the online works on Bf4 and Gta5. If you have Steam, you just download and run them like you would on Windows. Though I'd say go to the properties and change to "proton experimental" for a bit of a better experience imo, but not needed.

If you want to check without downloading and testing yourself, you can check this site for how well it runs, vs if it needs tweaks or flat out doesn't work. https://www.protondb.com/