
Hitdice |

Seveneves by Neal Stephenson (or at least the third of the novel's three sections) describes a technologically advanced society which lives in an orbital habitat recolonizing the earth's surface 5,000 years after an apocalypse. The first two sections describe the apocalypse and the experience of the survivors, but the third section sounds like what you're looking for.
No, I'm not going to spoiler that, because it's nothing you can't read on the book jacket flap.

The Lord Auxmaulous |

Battle Circle by Piers Anthony.
More or less ultra-low tech societies turning into empires and a world on the upswing.
Less Road Warrior & Terminator at Judgement Day (looking for rats to eat) and more D&D.
But why oh why would you prefer a post-post apocalypse?
Without the screams, persecution, rust, misery and fire it seems sort of pointless?

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You can't go wrong with A Canticle for Leibowitz -- even if it does postulate Texarkana as a future center of civilization.
I'm also going to throw out Gene Wolfe's series The Book of the New Sun -- the implication is that there has been a cycle of several apocalypses and resurgences. First book in that series is The Shadow of the Torturer.

Umbral Reaver |

Battle Circle by Piers Anthony.
More or less ultra-low tech societies turning into empires and a world on the upswing.
Less Road Warrior & Terminator at Judgement Day (looking for rats to eat) and more D&D.
But why oh why would you prefer a post-post apocalypse?
Without the screams, persecution, rust, misery and fire it seems sort of pointless?
Because I have buried myself in post-apocalypse for a good long while now. I'm not saying I don't like it. I would simply like to explore other things.

Ceres Cato |

I can't recommend any books and such, but Falloit: New Vegas had hints of this with the New California Republic (namely what it's like out east, beyond the game's playable areas) and how Vegas itself has come along.
I've thought about Fallout: New Vegas as well, but it's so unbelievably unrealistic and stupid in that department that I wouldn't prod it with a five-metre-pole if it weren't for the mods.
But I second Adventure Time, the episodes where you can see that something must have happened somewhere in the past, or the stories of some of the characters, it's quite disturbing.