I am a big fan of apocalyptic and post-apocalyptic fiction and I like the influence it has had on my home-brewed worlds and on my campaigns. While I enjoy stories about the apocalyse taking place, I enjoy post-apocalyptic fiction even more, the story of what takes place after the "end."
Of the pre-1900 books my favorites are Mary Shelley's novel,
The Last Man, H. G. Wells' novel,
The Time Machine and Richard Jefferies' novel,
After London. These are all free on line if you are interested.
Of the post-1900 books my favorites are Philip Wylie and Edwin Balmer's novel
When Worlds Collide and
After Worlds Collide, Jerry Pournelle and Larry Niven's novel,
Lucifer's Hammer, John Wyndham's novel,
The Day of the Triffids, Richard Matheson's novel,
I Am Legend, Andre Norton’s novel,
Star Man’s Son, Walter M. Miller Jr.'s novel,
A Canticle for Leibowitz, David Brin's novel,
The Postman, George R. Stewart's novel,
Earth Abides, Robert Adams,
The Horseclans series and Sterling E. Lanier's novels
Hiero's Journey and
The Unforsaken Hiero.
Though there are many more, these are most of my favorites.
One of the world building things that I like to do are image a world and flesh it out a bit, then destroy it and fully imagine what it looks like after the end. You can generate some interesting places to play in when you do that. On a few occasions I have did world building where I have had multiple apocalypses and then looked at the last post-apocayltic situation and what it looks like.
I will eventually be saying more about these things.