If you want to get the full flavor of the genre, there are pre-apocalyptic (trouble ahead), apocalyptic (it's here!), post-apocalytic (how we pick up the pieces and try to survive), dystopia (society works - but by a perversion of our current system of social codes), and anti-utopia (a flawed and maximally unpleasant world).

More dystopian literature:
Anthem by Ayn Rand
We by Yevgeny Zamyatin
A Boy and His Dog by Harlan Ellison
Fahrenheit 451 by Ray Bradbury
The Lathe of Heaven by Ursula K. Le Guin