Philip K Dick has written a lot of short stories centered around people after nuclear war or apocalypse type events. Very nice to read. One features (briefly) a rat that can play a flute. I think it's one line, but it's genius. He also talks about new traps to catch mutated animals. The detail regarding these post apocalyptic world's are amazing. Read some!
Lucifer's Hammer, by Niven, was good. Hard to decide if it is apocalyptic or post apocalyptic. As for Earth Abides, someone mentioned it early on, so I did not. Good book.
Book: William Brinkley's "The Last Ship", Ballantine Books 1989 Game (p&p rpg): Frank Chadwick's "Twilight:2000", GDW 1984 Movie (term post-apoc used loosely here): John Milius' Red Dawn 1984 Series: Terry Nation's "Survivors" on BBC from 1975-1977