If you ask me, the best games that work for distracting yourself and calming you down are those games from your childhood which you have nostalgia for. Do you have a game that makes you sigh with a warm feeling when you think about it? Then play that, heh.
If you want any specific suggestions, I suppose check out Harvest Moon: Back to Nature for the PS1?
It's a farming sim, but the classic/old school ones, so, no juggling a million materials for crafting bs and all that, just plant and grow stuff, take care of your farm animals, chill with the villagers, stuff like that.
I had a period in which I was just DONE with life and people in general, I just needed time away from everything and everyone in a peaceful and cozy place, and well, as this game was from my childhood, and its quite a chill game, it helped me feel better, yeah.