[From AnimeWaves]:

Chinami was born with psychic powers. She has always wanted to join the Psycho Police Force. However, she doesn't know how to control her powers, so she failed the entry exam. However, after being saved from a psychic criminal, she joins the Psycho Merchants instead.

From MangaHelpers:

Technology has now allowed people to be numerically categorized based on their psychological, physical, and emotional traits. People have begun using this technology to standardize what everyone considers a "good way to live." They call this system "PSYCHO-PASS."

Although all people know the standard "good way to live," crime still occurs. Kougami Shinya and his colleagues are part of the governmental agency that apprehends individuals deemed lacking under the PSYCHO-PASS standard. His agency are actually comprised of individuals who were once found to be problematic for society. They are now the dogs of the government.

From MangaHelpers:
This is a continuation of the story of Psycho-Pass, which takes place in a future world where it is possible to completely detect a person's mental state. This technology is used by the Sibyl system to separate those who are judged to have the potential to commit crimes from the rest of society, and sometimes to execute them on the spot using a 'Dominator' gun. The detectives that hunt down criminals and potential criminals work in pairs of "Inspectors," who are respected citizens, and "Enforcers," who are expected to have insight into the minds of criminals. The story features Inspector Tsunemori Akane, who is now no longer a rookie detective, and introduces a new young Inspector named Shimotsuki Mika, who will join the fight against criminals and those judged to be potential criminals.

“The “Footstamp operation” … … what the hell really happened there!?”
Okinawa, summer of 2112 before Tsunemori Akane is assigned to Division 1 of the Public Safety Bureau Criminal Investigation Department.
Sugou Teppei, belonging to the 15th unit of the joint task force of the National Defense Forces, is taking part to a military operation as an excellent pilot.
Three months later, a case where an unmanned armed drone attacks Tokyo and the Ministry of Defense begins.
In order to investigate the case, Masaoka Tomomi, enforcer at the Criminal Investigation Department’s Division 1 who went to the National Defense military base, comes near the truth behind the case with Sugou.

"Can you become my teacher?"

After the case occurred in 2116 in the Southeast Asian Union, the SEAUn, Kougami Shinya kept on wandering.
In a small country in South Asia, Kougami rescues a bus carrying refugees that were being attacked by armed guerrillas.
Among them, there is a girl named Tenzing.
Tenzing begs Kougami to teach her how to fight to take revenge.
What is the aspect of this world that a girl who seeks for revenge and a man who could accomplish his revenge can see at the margin of a world without a way out…?

“Senpai, this time, it’s okay if we say this case is mine?“

Winter of 2117. A vehicle out of control crashes in front of the Public Safety Bureau’s building.
The driver is Yasaka Izumi, a psychological counselor at the isolation facility for latent criminals in Aomori prefecture, the Sanctuary.
However, Yasaka immediate repatriation is decided right before her interrogation.
The inspector Shimotsuki Mika heads for Aomori prefecture to bring back Yasaka, along with the enforcer Ginoza Nobuchika.
What is waiting for them in that place is a “False paradise”.

From Easy Going Scans:

Asuma Eiji has the gift of psychometric power, meaning he can touch people or objects and see their history in images and words. Most of the time, Eiji is just a delinquent high school kid who hangs out with his friends and neglects his schoolwork. However, his psychic abilities have brought him to the attention of police inspector Shima Ryoko, who often calls him in to help out with difficult cases.

Currently, there's a serial killer loose in the city who has just claimed his sixth victim. He kills young women, contorts their bodies into odd shapes, and uses spray paint on them. With Eiji's psychic help, will Ryoko be able to catch the murderer?

This is a sequel of Psychometrer Eiji.

Eiji is a teenager who's rough and rude and loves to fight. However, Eiji has a strange power; when he comes in contact with certain objects, he can see people's memories from within the objects themselves. When he finds himself involved in a dark murder case, he assists a beautiful young profiler to find the murderer. Afterwards, she continues to ask for his assistance in more complicated investigations.

A detective manga with intriguing and complicated cases and a variety of characters from the complex to the caricature.

Caution: This manga contains vulgar words and violent imagery and scenes. Mature audiences only.

"Save me!" Those were Sakurako Amamiya's last words to her friend Ageha Yoshina before she mysteriously went missing. Now Ageha's on a quest to find her. He's convinced that the mythical Psyren Secret Society has something to do with the recent rash of disappearances. And now he seems to be caught up as a player in their very deadly game...

A new masterpiece from the author of Fuan No Tane, Nakayama Masaaki. It comprises of horror stories using introspection that will unhinge you ~ best for midnight viewing!

It is a funny love story about a high school girl called Momoka who loves wrestling, and Kuga, a wrestler who looks like a bad guy and often plays the villain but has actually a pure heart. Momoka is a huge fan of Kuga and keeps sending him supportive messages on Twitter. She even sent him a fan letter and one day after one of his matches he suddenly calls her… That’s how the clumsy love story of those two starts.

Hajime Nakano is forced by his mother to enroll at a newly opened all boys high school, and he laments over having to spend the next three years surrounded by other guys. However, he doesn't know that all of the other students are girls secretly pretending to be guys, and each of them think they are the only girl in the whole school.

There are some days when it'd be better to just stay in bed... so says Kazuma, an apprentice demon-hunter, on the day when he finds a strange creature in the forest. It's not a bloodthirsty monster, but a young half-human, half-dog girl. Just what type of creature is she? And why does Kazuma sees her at his school right after escaping from the encounter?

At Amatera Chateau, the exclusive all-girls dormitory, lives Petit (a dog that's just been adopted), Hanazono Hana (a not-so-smart girl), Kataoka Hikari (who doesn't like dogs), and Yamada Constance (pretty smart). This is about how chaos unfolds in their lives.

There is a legend that the gods granted the hero a task, which is to raise a little girl into something extraordinary. In this story, this young girl is Yushi, a 17-year-old girl that has been put under a spell: her body stopped aging ever since she was ten years old. She has been selected as a candidate to become the next Puchi Puri Princess. The girl selected to be princess will receive a magical tiara which grants the wearer anything she wants. This means that if Yuushi becomes princess she can wish her spell away! However, the competition is stiff and Yuushi still looks like a 10-year-old girl. Source: Baka-Updates Notes: This manga details the beginning journey of Yushi becoming a candidate and attending an academy where she will be trained the modesty of being a potential Puchi Puri Princess. The story is to be continued in the anime version of this title

A small and cute 4-koma manga serialization of ARGONAVIS from BanG Dream!

From the popular game "THE IDOLM@STER", comes a petit spinoff cute and soothing 4-koma! The setting is the same 765 Production from the games. One day, 765 Pro idols Ami and Mami bring in the mysterious Petit-dols "Afuu" and "Yukipo"!? More and more Petit-dols gather at the offices where everyone works. Leisurely enjoy their daily lives full of laughs and happenings.

Adventures of Melty and friends that attend an academy in order to become questers!

Ashitaka's an out and proud gay man, trawling for booty calls at his favorite gay bar - but only bottoms need apply, because Ashitaka only tops! His first attempt at gay sex three years ago ended painfully and embarrassingly, and he vowed to never yield his ass to another man again - but fate has decided to throw the very man responsible for his 'bottom trauma' back into his life, and the guy's looking for a fresh start.

The life of a magical girl isn't all fighting witches and collecting grief seeds. When they aren't kicking butt, Homura Akemi and her friends face the same trials as normal high school girls! In this four-panel comedy, glimpse a sillier side of the girls from the bestselling Puella Magi Madoka Magica series!