Usually Debian testing will get you where you need to go with Steam and gaming. The stable branch won't git r dun for you usually.
Of course, I don't play AAA slop that's essentially rootkits with a game attached on the side, but even more reasonable AAA titles tend to work just fine.
What I'm trying to say is that this "debian stable is from previous century" confusion needs to die. They had one or two slightly longer periods between two stable releases, many years in the past, but that seems to be all people remember.