Deep Rock Galactic kind of fits. No story to speak of per se, Grapics are low poly but well made, and isn't "realistic" drab grays. Definitely has controller support, and is very replayable since the levels are randomly generated.
Only way it differs from your list of requested features is that it is also multiplayer. However you can defiitely play it singleplayer and you get a (literal) bot that will help you out if you only do solo mode, and there isn't really any content locked out if you are playing singleplayer.