Roguelike games like https://crawl.develz.org/
Easier than Dwarf Fortress, still fun.
Vintage gaming community.
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the bazaar is a great async pvp autobattler - meaning no turn times or lobbies, pause and resume runs whenever (besides patches)
Turn based games work the best for this, you can stop playing at any moment or resume at any moment without any issues. I played Civilization III for most lectures through university. Civ III does run under Proton but not well. Civ V has a native build, and would be a good entry point into the series.
My go-to for this is Stardew Valley
If you're fine playing single player, you can try 2009 scape.
Forgot about this, thanks!
I use dwarf fortress for this but the learning curve is pretty steep as it can be a bit complex but once you get the hang of it and you have a nice fort up and running, you can kindof let it run in the background like an idle game
Balatro, Slay the Spire 2, Poker Night At the Inventory, most Pokemon titles, Mewgenics, Worms titles, Plants vs Zombies (GOTY edition with widescreen fix), Poly Bridge