Ghost in the Shell: The manga and series as a whole is a major cyberpunk influence. The first movie was good, but the Dub was terrible and changed the entire feeling of the film. The Second movie, Innocence, is my favorite and has a gritty noire aspect. The Stand Alone Complex series are unrelated and have a different tone but are well received with a good dub (personally like the fansub the best). The other shows and movies are not as interesting but still worth watching.
Serial Experiments Lain: Personal favorite of mine, up there with Ergo Proxy. Its a slow and artistic piece using visual story telling. It starts out confusing and hard to figure out, but each episode starts to stitch everything together. Looks a lot into how people interact in a digital age. Very layered and interesting.
Psychopass: Imagine a "utopia" where your life is planned by a computer algorithm. There is no typical police force because everyone's metal state it constantly monitored. This story follows a unit of judge like individuals who are confronted with a series of serial murders that test the limits and shortcomings of a supposedly perfect system. (Personally preferred the 1st season which was more psycho thriller, 2nd season was still good, movie wasn't bad, hoping for a season 2.)
Gunslinger Girl: Haven't finished this one yet but was very surprised. The title makes it sound pretty ridiculous, until the moment you start watching it. In the this future are young girls who are bed ridden with illness, crippled, and often several mentally scarred, who are turned into cyborgs for an Italian police force. They then undergo "conditioning" to suppress emotions, and training to take on jobs as hit men. The series explores morality and the psychology of lives these child weapons face. Very depressing but interesting.
Jin-Roh: This is a film that explores an alternate reality, what if Japan had taken a different approach post WWII and become a more totalitarian state. Domestic terrorism is rampant and the story follows a secret police agent facing some really well portrayed PTSD after he lets down his guard trying to apprehend a suicide bombing young lady. Really good, really depressing.
Paprika: Lets make make a tool for psychologist that lets people enter your dreams. There is no way this could be abused...aaaand now its stolen and people can't tell what is a dream or reality. Not really cyberpunk, but it fits the abuse of technology theme and is really good and trippy. Sadly the director died, so no more of these masterpieces.
