Ok everyone’s heard of Mad Max, everyone’s heard of Terminator. In fact, Hollywood is going apeshit over post apocalyptic movies now (Terminator 4, The Road, Book of Eli, 9). How about some more obscure Post Apocalyptic movies? While it may not be a pure Post Apocalyptic animation, It does have strong post apocalyptic elements. Instead of the entire world being destroyed, its just a city in Japan that has been fire bombed. Instead of the near future, it takes place during the final days of World War Two. From wikipedia:

Grave of the Fireflies (火垂るの墓 Hotaru no Haka?) is a 1988 animated film written and directed by Isao Takahata .This is the first film produced by Shinchosha, who hired Studio Ghibli to do the animation production work. It is an adaptation of the semi-autobiographical novel of the same name by Akiyuki Nosaka, intended as a personal apology to the author’s own sister.

Some critics (most notably Roger Ebert) consider it to be one of the most powerful anti-war movies ever made. Animation historian Ernest Rister compares the film to Steven Spielberg’s Schindler’s List and says, “it is the most profoundly human animated film I’ve ever seen.”