I have a computer running fedora with a 5080 GPU. The newer games all work fine (e.g. cyberpunk 2077, BG3). The really old games mostly work fine (e.g. system shock 2, original Deus Ex) . The in-between games... are really hit-or-miss (e.g. I can't get witcher 1/2 or Deus Ex Human Revolution to run).
I have played through Deus Ex HR (and MD) on Bazzite albeit on an AMD GPU. You should generally be able to do it with Proton (GE recommended) either Steam (recommended) or Heroic (if you bought them from GOG).
Witcher 1/2 at least also worked OOB via steam.
For some context/ user comments, see Deus Ex HR[0] and System Shock 2[1] on protondb.