If the games you want are on steam, check if they are on this list: https://areweanticheatyet.com/
If there is no anticheat (or the anticheat is supported), and the game is on steam, then I would wager that it would "just work". My feeling is that it's more like 99% now. Non steam games can be more problematic (I had issues with the blizzard/wow launcher for instance, it can be made to work but definitely doesn't "just work").
Happy gaming!