Simon's Puzzles is what i use when I'm trying to reduce my own doom scrolling.

Luanti (a very nice free Minecraft clone) is also great for a few minutes (...or hours) here and there.

Edit:

What the hey, here's a few more!

Burger Party - Like that pizza game, but burgers

Breakout 71 - Breakout as a Rogue-lite

Endless Sky - Space Trader Simulator

Gridle (Crosswords-Like Wordle)

Gurgle (Wordle)

Mindustry - Mobile Factorio-like

Pixel Dungeon - Rogue revisited and constantly updated

Roboyard - Slide robots to their goals

Super Tux Kart

Have you thought about minecraft?

My partner, who is a non-gamer loves WytchWood, which is a rather slow paced crafting and wander around the woods game in a fairy tale setting.

Any interest in idle games? If you’re up for a cozy and relaxing one, you can try Idle Slayer which is free. Play when you want, easy game, incremental progress. I play it on occasion on Steam.

Have you tried animal crossing or Calico? Any of those "build your home" kind of games could be good.

Journey is often recommended too for cozy.

As a slight oddball one, maybe Fez or What the Golf

Not games with progress tracking usually, but Playnite and PICO-8 games on Itchio that I found are usually more chill and possible to play in short sessions. Just not sure how to play them on phone if that's needed.

Also as more standard games, LYNE and Codemancer I quite liked, and both puzzle games.

It’s not a long game but Camille and Laura is a game about the difficulty of motherhood in the first week of school.

Made and Drawn by a lone Montrealer

i think Cozy Grove (https://store.steampowered.com/app/1458100/Cozy_Grove/) might be interesting for you, it's basically Animal Crossing but with bears, and its designed so you can only make a max amount of progress per day, so no addiction

trying to think of other games, I'll update this comment if I find more!

I have several suggestions, with different overall vibes, but that I think still relate to this itch.

First of all, my timewaster at the moment is Balatro. Not original, but fills the niche of a game you can hop on and off as needed, no need for quick reflexes, but still a sense of having to play and engage, with long term progression.

There was a time when Potion craft was the scratcher of this cozy niche. Very cool artstyle and music, no time constraints gameplay, and again a meaningful sense of progression with a very low bar for entry.

Perhaps not the best fit for your question, but I'll still say it so you can try, Return of the obra dinn. It's not cosy, but fits the criteria of something you can play with rather minimal "gamer experience" while enjoying it to the fullest. It's an incredible investigation game where you uncover a superb and compelling story, at your own pace. Again, very characteristic artstyle, and one of my all time favorite music.

It would be a crime to answer a cozy game suggestion without mentioning Stardew Valley, however I think it's going a bit against the non-gamer thing. Still, very nice game!

Another suggestion could be Powerwash simulator, very "brains off" kind of gameplay, very simple even for a non gamer (actually tried with a very not gamer family member), and sooo satisfying!

You may also like things like Poly bridge and other puzzle games, but I haven't really played these so I can't personally say.

I hope you find at least one thing you like here, and I'll add some if I think of more