Toward the End of Time by John Updike is set in Boston in 2020 following a recent war between USA and China and is about how life carries on following nuclear devastation. A space station orbits an earth now without any means of returning its occupants. No new motor vehicles have been manufactured since the war. Repair of PCs, cell phones, computers is a lucrative enterprise. Mexico was barely affected by the conflict and is possibly becoming aggressive in anexing land in the South West. In the absense of central government Massachusetts prints its own currency. Worth reading. Alternatively, if you are into comics, Epic had a four parter entitled The Last American. The self-same, buried deep in suspended animation until the air is breathable again following nuclear attack. He is then awakened by computer.
There are heaps of great post apocalytic books out there, try reading 'Last Light' and 'Afterlight' by Alex Scarrow or if you want something a little lighter read 'Alas, Babyon' by Pat Frank or 'Earth Abides' by George Stewart. Others to look up I would recomment would be 'A Canticle for Leibowitz' by Walter Miller and 'The death of Grass' by John Christopher ('No Blade of Grass' the US title).
You can't go wrong with Swan Song by Robert McCammon. It's set in a post-nuclear world and focuses on three stories, that of Sister, a former bag-lady, Colonel Macklin, ex-army turned survivalist and his young (dark and twisted) sidekick Roland and Josh and Swan, a young girl with a very special power. Like King's incredible The Stand there is a drawing together of good and evil, but its a wonderful story in its own right - its a long read of maybe 1000 pages or so, but is written so skillfully that you'll find it difficult to put down. I found all the characters believable, empathising with some whilst despising others - parts of the story were quite moving while other parts were disturbing. McCammon weaves a wonderful tale and Swan Song is one of the few books that I've returned to and read on several occasions.
James Herbert's '48 and Cormack McCarthy's The Road spring to mind. The former is a grim but gripping depiction of a post WWII London suffering the aftermath of a biological attack, in which gangs roam the deserted city,, quite literally in search of fresh blood. The latter being a post apocalyptic road trip; thin on plot but well drawn.