Juuzawa Juu:Everyone in this world is insane. It is because they’re insane that they don’t notice... How twisted the world really is!
Denpa Teki na Kanojo: Juuzawa Juu was just a normal delinquent teenage boy, spending his days getting into fights he would much rather avoid. One day, however, a strange girl named Ochibana Ame finds him and tells him that he was a king in his past life, and that she was his knight. She pledges fealty to him and swears to serve him as the knight she (at least believes) she once was. Originally, he wanted nothing to do with her, but when his classmate is murdered by a serial killer, he looks to her for help in solving the case.Though it started as a Light Novel series, it has been adapted into an anime, currently at two episodes. The books and the show take place in the same world as Kure-nai.
Denpa Teki Na Kanojo provides examples of:
Above the Influence: Much to Hikaru's chagrin at the time, Juu. She thanks him later for not taking advantage of her when she was distraught from being rejected by her crush.
This could be the reason Juu will never upgrade his relationship with Ame: He will not take advantage of a Crazy Sane girl.
Ax-Crazy: Let's just say that the serial killer is just the beginning of the crazy.
The Beard: In the second episode, Juu is accused of feeling up girls on the train. Fortunately, Ame's sister Hikaru is there, recognizes him, and pretends to be his girlfriend to stop him from getting in trouble with the police. This leads to a whole mess of trouble later, as the girls who accuse Juu were actually members of the Happiness Club, and decide to make both Juu and Hikaru's lives miserable by spreading nasty rumors about both of them.
Because You Were Nice to Me: The true reason behind Ame's fierce dedication to Juu is that he comforted her when the two of them were younger.
Beware the Nice Ones: Played straight and subverted. Ame is quite scary when Juu is being threatened, but even the more obnoxious characters can be quite frightening in the right circumstances.
Bodyguard Babes: At the school, Juu tries to confront Ayase and she pulls a razor, then all the girls run to protect a surprised Juu. Justified because Yukihime and Madoka are Ame's friends, and is logical she asked them not to solve the case, but help Ame to protect Juu.
Crazy-Prepared: A subtle example when Ame offers a handkerchief to Juu when they enter Ayase's home. How on earth she would have thought about what they would encounter there? Does she always carry a spare handkerchief?
Kinda Busy Here: Exactly the words Kuraki tells Ame while she is trying to steal Kaori's happiness.
Lady and Knight: Inverted, Juuzawa Juu is a King (the Lady), good looking, admirable guy with dignity and nobility that inspires everyone around him, even his enemies, and Ochibana Ame is The Knight as a strong, brave girl of virtue sworn to protect him.
Laser-Guided Karma: When Shiraishi pushes Juu out into traffic to metaphysically "steal" his happiness, the car swerves out of the way and ends up hitting her instead. Yukihime even states afterward that karma worked out right for once.
Arguably Juu, in a much more literal sense than most.
Hikaru is also relatively stable... at least, so far... if you don't count Sex for Solace as some form of temporal madness.
Overprotective Sister: Ame's sister, Hikaru, is deeply suspicious of Juu, initially believing that he was encouraging Ame's strange behavior. She was quite relieved to find out that he was as freaked out by Ame's behaviour as she was.
Path of Inspiration: Not exactly religious, per se, but the Happiness Club has a disturbing enough metaphysical outlook to qualify. They believe that there is a limited amount of happiness in the world, so if they want to be happy they need to make someone else unhappy. Thus, they resort to various kinds of harassment, collecting "happiness points" as they do so, creating a sort of perverse Karma Meter. Of course, the whole thing is a plot by Ayase to gather everyone in the Happiness Club together so she can steal all of their happiness at once... by burning them all alive. The intended result is to gather enough Happiness Points to resurrect her dead mother. It doesn't work, of course.
Past Life Memories: Ochibana Ame declares to Juuzawa Juu that Juu was the the Lemurian Continent King thousands of years ago, and Ame was his knight who Cannot Tell a Joke. Ame sincerely believes this, Juu (and everyone else) answer is You're Insane!.
Peek-A-Boo Corpse: Getting to Ayase's house, we learn that she has been keeping the mummified corpse of her mother in the futon where she died, for months if not years. Of course, the first thing we see is not the body, but the swarm of insects that had been festering in the corpse.
Psycho Lesbian: The lesbian bit is questionable; the psycho part is not.
Rape as Drama: Miya is shown being raped by the serial killer in the first scene. She later goes on to assist, and even encourage the dastardly acts of Kiyoshi, because he is her Onii-san... and perhaps because of a little Stockholm Syndrome.
Stockholm Syndrome: After being raped by the serial killer, Miya becomes his accomplice, taking pictures of the victims just before they're killed and posting them on the internet. She even helps to finish the job when the severe beatings he gives the poor women don't quite work.
Stupid Sacrifice: Ame stands between a drugged Juu and the first Big Bad holding a razor. Juu pushes Ame to his left side, she hits a wall, is momentarily unconscious and the Big Bad wounds Juu. If Juu would have pushed Ame to his right side, she would have not hit anything and would have been capable of helping Juu.
Sugar and Ice Personality: Ame seems to have a lot of trouble expressing her emotions, but she starts opening up more to Juu as time goes on.
Juu fits this trope too! Remember when Miya says he is so cold and call him a Tsundere? a better term could be a Kuudere: Sugar and Ice Personality (Tsundere is more "Sugar and Fire").
There Are No Therapists: And boy, howdy, could they use them. Look at a character, any character in this series. Are they (currently) alive? Then chances are they could use a few (hundred) sessions with a decent psychologist.