I’m in the same boat (as far as free time goes) but I have the opposite outlook. Strategy games, and other games with some amount of crunchy complexity, keep me engaged even when I’m not playing. I can spend some time on wikis, crafting theories, and cooking up plans throughout the week and that keeps me coming back.
I can’t do story games because it’s too easy to forget what’s going on when you spread it out that far. Or there’s online action games (shooters, mobas, etc) but it’s rare that I can guarantee I’ll be on long enough to complete a match.