It's not exactly the same, but the rpg/farm sim Harvestella has food mechanics that work pretty similarly to what you've described! You need to keep a "filling" meter full to continue regenerating stamina, and the main way you do that is by eating cooked meals. You can only eat full meals at certain waypoints, and you can only eat a certain number a day. Also, different meals trigger small conversations with your party! They have different scenes for different types of meals (sweet, spicy, unusual, etc), and you unlock more scenes as the game progresses, so you are super incentivized to continue eating new things with new people as you go. I really like how it handles food... also the illustrations for the meals are really good which doesn't hurt either.
that sounds cute…
















