I can’t recommend Celeste enough, personally.

I will warn you that the platforming can be challenging, but if it’s too stressful Celeste offers almost unparalleled accessibility options that will allow you fine control over the difficulty so no matter your skill level you’ll be able to progress.

Great story, cozy atmosphere but still emotional impact, and the only “fighting” you do is against yourself.

Amazing game, highly recommend Celeste

My daughter has been playing Disneyland Adventures. She loves it.

Transistor

Hello Kitty Adventure Island

Unpacking, it’s a relaxing puzzle game with some great environmental storytelling. Gameplay amounts to unpacking after various times moving house throughout a woman’s life. It’s really interesting to see how the different stages of her life are shown by the different living situations she moves into.

Life Is Strange

https://www.gog.com/fr/game/life_is_strange_complete_season

It’s not an action/combat game but there are violent parts in the story

Euro-Truck Simulator

Oh I think I know a good one! Haven, and it’s currently 60% off. You play as a couple who escaped a controlling society to a foreign planet. (Three gender combinations can be chosen for the couple)

There is a combat element, and I don’t think you can avoid it, but what you do is essentially clean the corruption off the local wildlife, instead of killing. Don’t know if that works for you, but it’s worth giving it a look I think.

Gris

Gourdlets.

I feel like spiritfarer is in this vein. Really cozy game

Kirby.

Kirby and the Forgotten Land can be played co-op. You can play it for free on your computer using the Torzu emulator.

Also The Sims.

Metal Gear Solid

I played one a few months back that might fit the bill. ‘Garden Life: a Cozy Simulator’ It’s a game where you grow/decorate a garden of flowers and sell/give them to people. Very pleasant.

While there are combat aspects of it, you can play the fuck out of Stardew valley without ever even seeing the cave. Definitely slice of life, with open relationship options(open as in my mf ff, makes no difference. Not screwing everyone).