I struggle to see how any game with combat can be cozy either. I prefer cozy games to be ones you can stop at any second (without even pausing) and come back to them later. Unfortunately many games that otherwise count as cozy to me fail the “fell asleep playing” test so I have to accept pausing at least to have enough games to play.
In Stardew Valley and Littlewood at least you have to go looking for combat but there is content unavailable unless you participate.