> Hades classifies as well I believe. ... each "run" or playthrough you change the game state somehow (varies by game) so that the next run is easier / you have more in-game options for progression.
Usually this is how the community differentiates between "roguelikes" (i.e., like the original Rogue[1] - with no persistence between runs), and "roguelites" where there is some amount of carryover, like in Hades.
Of course, like any time you have a bunch of dorks arguing about nomenclature, there are a bunch of grey-area examples that people fight over as if it matters more than it actually does.
Anyway, tangent: Hades fucking rules.