Many of my games are cute. Have a look: https://evolutionarygames.itch.io/
Some of them are free, like all my browser games, and
Covert Dragons & Co - find the matching dragon or bird
Pizzantropia - catch the pizzas and potions, avoid the obstacles - the demo is free and it's a full game in its own right
I'm not sure what you mean about a feel good moment - that would be more like a visual novel that has a happy ending - but my browser games for destressing have that - you can turn all the faces happy (or eliminate all the angry faces).