For me, it is almost the opposite. I can't get into games that are highly "stateful" anymore. I find that the only games I can consistently play for relaxation are games like match-based FPSs that I'd call "stateless". The anxiety about wasting time hits me when I'm looking down at an empire in Civ or a growing base in DF or my stats pane in an RPG. When I can see evidence of how much time I've spent building an imaginary artifact, I inevitably come to the conclusion that I have better things to do.

Maybe another way to look at this is that I can't get into games that feel like projects. Building a base in DF is a project. If I'm going to be working on a project, why not a programming project that will actually create value in my life and others'? With something like Overwatch (team-based FPS with 15-30 minute matches) on the the other hand, it feels more like an activity, like watching a movie or playing a sport. I feel comfortable playing it for two hours one day and picking it back up the next day or the next week or just whenever I want to spend some time relaxing.

I'd never thought of it as stateless / stateful before but this is exactly my feeling, great vocabulary for it.

I still like building things so Age of Empires 2 is perfect for me - there's a lot of base / army building but it's ultimately a short stateless activity.

Get into a skill game, then you can say that you're improving your skills. Something like Go, Starcraft, etc. People are actually impressed even if you're only above average (dan-level Go player/Master or above SC2 player)

Same, any hour long competitive game is too much for me. It feels like a complete waste of time. I only have fun playing games like battlefield now for 20 minutes while listening to music.

MOBAs are pretty stateless, works for me :)