Anime have been dealing with the apocalypse and post-apocalyptic worlds for decades. Anyone doing real and intensive research on this topic HAS to, at some point, widen their range to include manga and anime. I myself have actually got to know this genre through several anime while growing up. One of these was Cowboy Bebop, a 26 episode series that takes place roughly in 2071. A man-made catastrophe blew up the moon and making Earth almost inhabitable. The human race had colonized most of the rocky planets in the Solar System. The Inter Solar System Police (ISSP) established a system in which registered bounty hunters (known also as cowboys) travel in the galaxy to seek out criminals to help the police. Our main character, Spike Spiegel is from Mars and in this movie they go back to the planet to stop someone who actually is about to be responsible for a new apocalypse in the world they live in now.
The movie's story is situated somewhere in the middle of the timeline of the 26 episode anime. Spike, Jet, Faye, Ed and Ein get together to find someone responsible for a biological attack on Mars. This man is a soldier who was used for experiments and is now trying to turn the world into the emptiness that he himself feels inside. The weapon eats up brain cells and everyone infected slowly dies. The man, along with another soldier has the antidote in their body, and the team uses it to make sure that the biological weapon never takes effect.
Watch it? I recommend it highly, even if you don't know the series. It is a stand alone story that introduces to you the characters and you will likely be interested in the series which, some almost 20 years later still makes for a fantastic and original show. I myself wish there was more.