Here are my favorite picks for anime like Code:Breaker. Keep in my the list is in no particular order. Enjoy the recommendations!
Death Note
A shinigami, as a god of death, can kill any person—provided they see their victim’s face and write their victim’s name in a notebook called a Death Note. One day, Ryuk, bored by the shinigami lifestyle and interested in seeing how a human would use a Death Note, drops one into the human realm.
High school student and prodigy Light Yagami stumbles upon the Death Note and—since he deplores the state of the world—tests the deadly notebook by writing a criminal’s name in it. When the criminal dies immediately following his experiment with the Death Note, Light is greatly surprised and quickly recognizes how devastating the power that has fallen into his hands could be.
With this divine capability, Light decides to extinguish all criminals in order to build a new world where crime does not exist and people worship him as a god. Police, however, quickly discover that a serial killer is targeting criminals and, consequently, try to apprehend the culprit. To do this, the Japanese investigators count on the assistance of the best detective in the world: a young and eccentric man known only by the name of L. [Written by MAL Rewrite]
Zettai Karen Children: The Unlimited – Hyoubu Kyousuke
Kyousuke Hyoubu, an ESPer who was betrayed many years ago, is now one of the most powerful ESPers—and also a fugitive. However, behind that glare lies a kind heart. His main mission is to save ESPers who are mistreated by humans, even if that be by force. Through his methods, he has saved many ESPer lives and gained the loyalty of those he has saved. The name of his group: P.A.N.D.R.A. (Source: ANN)
Ao no Exorcist
Humans and demons are two sides of the same coin, as are Assiah and Gehenna, their respective worlds. The only way to travel between the realms is by the means of possession, like in ghost stories. However, Satan, the ruler of Gehenna, cannot find a suitable host to possess and therefore, remains imprisoned in his world. In a desperate attempt to conquer Assiah, he sends his son instead, intending for him to eventually grow into a vessel capable of possession by the demon king.
Ao no Exorcist follows Rin Okumura who appears to be an ordinary, somewhat troublesome teenager—that is until one day he is ambushed by demons. His world turns upside down when he discovers that he is in fact the very son of Satan and that his demon father wishes for him to return so they can conquer Assiah together. Not wanting to join the king of Gehenna, Rin decides to begin training to become an exorcist so that he can fight to defend Assiah alongside his brother Yukio. [Written by MAL Rewrite]
Darker than Black: Kuro no Keiyakusha
It has been 10 years since Heaven’s Gate appeared in South America and Hell’s Gate appeared in Japan, veiling the once familiar night sky with an oppressive skyscape. Their purposes unknown, these Gates are spaces in which the very laws of physics are ignored. With the appearance of the Gates emerged Contractors, who, in exchange for their humanity, are granted supernatural abilities.
In the Japanese city surrounding Hell’s Gate, Section 4 Chief Misaki Kirihara finds herself at odds with an infamous Contractor codenamed Hei. Called “Black Reaper” in the underground world, Hei, like his associates, undertakes missions for the mysterious and ruthless Syndicate while slowly peeling back the dark layers covering a nefarious plot that threatens the very existence of Contractors.
From the mind of Tensai Okamura comes a sci-fi thriller taking the form of a subtle exposé on a war in which political positions and justice have no sway—a war waged exclusively in the shadows. [Written by MAL Rewrite]
Noragami
In times of need, if you look in the right place, you just may see a strange telephone number scrawled in red. If you call this number, you will hear a young man introduce himself as the Yato God.
Yato is a minor deity and a self-proclaimed “Delivery God,” who dreams of having millions of worshippers. Without a single shrine dedicated to his name, however, his goals are far from being realized. He spends his days doing odd jobs for five yen apiece, until his weapon partner becomes fed up with her useless master and deserts him.
Just as things seem to be looking grim for the god, his fortune changes when a middle school girl, Hiyori Iki, supposedly saves Yato from a car accident, taking the hit for him. Remarkably, she survives, but the event has caused her soul to become loose and hence able to leave her body. Hiyori demands that Yato return her to normal, but upon learning that he needs a new partner to do so, reluctantly agrees to help him find one. And with Hiyori’s help, Yato’s luck may finally be turning around. [Written by MAL Rewrite]
Gakuen Alice
Sakura Mikan and Imai Hotaru are best friends, and Mikan is shocked to find that Hotaru is transferring to a school in Tokyo for gifted students like her—Alice Academy. Mikan hears rumors that the students are like prisoners there, and worried what would happen to Hotaru, she runs away to head to the school herself. She finds out all the wonderful things about this school. And she heads into a great adventure!!
Psycho-Pass
The series takes place in the near future, when it is possible to instantaneously measure and quantify a person’s state of mind and personality. This information is recorded and processed, and the term “Psycho-Pass” refers to a standard used to measure an individual’s being. The story centers around the “enforcement officer” Shinya Kougami, who is tasked with managing crime in such a world.
In the future, it is possible to quantitatively measure a person’s emotions, desires, and every inclination. In this way, it is also possible to measure a person’s criminal tendency factor, which is used to judge criminals.
This is the story of a team of policemen dedicated to maintaining public order. Some of them work in the Enforcement Division, responsible for the apprehension of criminals, while others belong to the Supervisory Division which oversees their colleagues in Enforcement. (Source: translated and adapted from official site by Cranston)
References: MyAnimeList, Wiki, ANN