What do you want? Lots of games fit that description.
In some shooters, you basically only grind for cosmetics, like Overwatch, Marvel Rivals or Counter-Strike. Dota 2 is a Moba and also only has cosmetic unlocks, I think.
Maybe Minecraft or Terraria? I don't think you really grind in these games, but you do very similar stuff all the time.
I consider digging hours for diamond as a form of grinding, and you have to get it for crafting advanced stuff. I could play creative mode, but at that point it's more like a 3d Paint than a game
These are the features that I want to avoid: grinding for resources, cosmetics, and anything that require repetitive and/or mindless action. Any genre is good, the question is more like a test to see if a game like this can exist
No cosmetics pretty much disqualifies almost every game, because all of them have it, even old games.
In my comment before, I probably wouldn't describe cosmetics as a grind. You just unlock stuff on the side, as a bonus, since most of it is random. It's not like you're going to play a thousand games of Ursa in Dota to unlock some rare skin.
A bit of cosmetics on the side is ok. What I want to avoid is cosmetics like in Sea of Thieves, where the main reason to gather resources and completing mission is unlocking them