Tekkonkinkreet

Black and White are two orphans who roam the streets of Treasure Town, beating down any thug or yakuza who gets in their way. When mysterious foreign entrepreneurs appear with the intention of tearing down Treasure Town and replacing it with an amusement park, Black and White face their greatest adversaries yet. It is up to the destructive Black to save the fate of the city and up to the gentle White to save Black from his own dark nature.

Kaiba

It is now possible to store memory data, so that the death of your body is not actually "death". As memories are stored in databanks, they can be "transferred" to new bodies. Because so-called "memory trading" now occurs, it is now possible to steal memories and illegally alter them. Society has fallen apart as authority has become lost and stagnant. One day, a man awakens in a ruined room. His name is Kaiba. He has no memories, but he does have a pendant with a picture of an unknown woman inside. In the skies are roiling clouds and electrical storms, impossible to pass without losing one's memories; above them lies the elusive realm of the rich and powerful, who barter others' bodies and memories for their own enjoyment and longevity. Below lies a troubled and dangerous world where good bodies are hard to come by and real money is scarce. After suddenly being attacked, Kaiba escapes into space, and during his travels meets all sorts of people and regains his memories. Throughout it, he continues to be troubled by the world's problems, as well as his own existence. And what of the woman in the pendant, Neiro?

FLCL

Naota is a detached sixth grader afflicted by the pangs of puberty. He's fooling around with his brother's ex-girlfriend when a crazed girl on a motor scooter runs him over, brains him with a bass guitar, and moves into his house. This pink-haired girl, Haruko - who claims she's an alien - hurls Naota into the middle of a mega-corporation's secret agenda. Oh, and now giant battling robots shoot from his skull. Mix in mind-bending animation and tunes that echo through your cerebellum to top off the trip that will have you falling hard for FLCL</i>. (Source: Funimation)

Cat Soup

Cat Soup is an extremely difficult film to describe, due to its awesome surrealism and almost nonexistant dialogue. It is more a work of art than an anime. There are many underlying themes, such as the transcience of man's existence, but it can be enjoyed without understanding any of them. The plot, though simple, isn't necessarily understandable without being explained. The main character, a cat named Nyatto, embarks upon a journey to save his sister's soul, which was ripped in two when Nyatto tried to save her from Death. She trails after him, brain-dead. They encounter many brilliant, mind-bending situations, beginning with a disturbing magic show. (Source: Anime News Network)

Tobira wo Akete (1995)

It's bedtime, and Nonoko is about to go to sleep. But the play of light and shadow on those objects on the wall look almost like... a person. (Source: Anime News Network)

Mix Juice

The "story" of an apparitious extraterrestrial and a vertically mobile prepubescent. (Source: Anime News Network)