I feel like a lot of post-Apocalyptic stuff tends towards some kind of reskinned Western (which isn't necessarily a bad thing, because I would also like to play on a Western game). But some really do lean more into what that means, thematically, than others.
What i like is all about small communities trying to survive, hopefully thrive, while figuring out what they want to be like, and how the world might make that difficult. Rebuilding engines is boring, rebuilding society is what it's all about. And also being basically a cowgirl but, like... with spiky cars, or a mohawk or something.
But also, I don't really like settings where the apocalypse happened yesterday. I like it when characters have been born into it and it's a fine line between looting and archeology.