I particularly like games that encourage the player to engage in ritual, which is an interesting parallel to the arcane rules-obeying gameplayer’s mindset.
I don’t have access to it right now but I’ve got a half-finished essay about explicit rituals in games, segments that require the player to act out a symbolic role and repeat it several times. I believe Skyward Sword pushed hard (clumsily) on this, though at that point it was aping Shadow of the Colossus’ ritualistic sinning/ablution cycle.
Morrowind has a very long and arduous pilgrimage that gets at the idea of doing something to walk in the footsteps of saints; rewards are not explicit but each stopping point deepens your understanding of the journey, particularly how your trek to that point of pilgrimage relates to the saint’s myth.
Mechanics shrouded in mystery, particularly with random results, inspire player communities to create rituals and superstitions: