This isn't mechanical really, but I really like the glass tokens in viticulture, because they allow you to see through them to see the value of the grape beneath the token. They're also satisfying to use.

Relatedly, I also like the way that the Dark souls board game has you track health and stamina: your character card is a thickish board that has square cutouts that represent your stamina and health bars, and then you put little cubes in the slots as you take damage or use stamina. I mostly like this because it feels satisfying. The board game itself isn't too great mechanically imo (when managing the enemy "AI", we would often joke about how it would be cool if there was some way to automate this clunky way of managing the enemies. Some computerised system perhaps...). When I played Gloomhaven a while later, I remember thinking that it felt mechanically similar to the Dark Souls board game, but far better executed.

I feel like I surely have better answers for your question, OP, but I can't think of them right now. But thanks for such an awesome question; I'm looking forward to reading other answers. I am also likely to try playing some solo Feast for Odin because of you; I've played it once, with friends, but I also have it as a mod on tabletop simulator, so I can try it there.