I'm currently reading
City at World's End by Edmund Hamilton, available right here thanks to JSWolf. It's the story of a 1940s (I think) mid-west town thrown millions or billions of years into the future to an empty and dying Earth. It's got a post-apocalyptic feel to it, though it's not really in that genre. Fair warning though: Hamilton's view of women is old-fashioned to the point of being quaint or offensive, but it's an interesting read if you can overlook that part.