Here are my favorite picks for anime like No.6. Keep in mind the list is in no particular order. Enjoy the recommendations!
The story takes place on an island, where a “Fractale System” is beginning to collapse. One day, Clain finds an injured girl called Phryne under a cliff. She disappears leaving a pendant. Clain sets out for a journey with the girl-shaped avatar Nessa to look for Phryne and discovers the secret of the Fractale System. (Source: MyAnimeList)
Justice, and the enforcement of it, has changed. In the 22nd century, Japan enforces the Sibyl System, an objective means of determining the threat level of each citizen by examining their mental state for signs of criminal intent, known as their Psycho-Pass. Inspectors uphold the law by subjugating, often with lethal force, anyone harboring the slightest ill-will; alongside them are Enforcers, jaded Inspectors that have become latent criminals, granted relative freedom in exchange for carrying out the Inspectors’ dirty work.
Into this world steps Akane Tsunemori, a young woman with an honest desire to uphold justice. However, as she works alongside veteran Enforcer Shinya Kougami, she soon learns that the Sibyl System’s judgments are not as perfect as her fellow Inspectors assume. With everything she has known turned on its head, Akane wrestles with the question of what justice truly is, and whether it can be upheld through the use of a system that may already be corrupt. [Written by MAL Rewrite]
Japan, 2039. Ten years after the outbreak of the “Apocalypse Virus,” an event solemnly regarded as “Lost Christmas,” the once proud nation has fallen under the rule of the GHQ, an independent military force dedicated to restoring order. Funeral Parlor, a guerilla group led by the infamous Gai Tsutsugami, act as freedom fighters, offering the only resistance to GHQ’s cruel despotism.
Inori Yuzuriha, a key member of Funeral Parlor, runs into the weak and unsociable Shuu Ouma during a crucial operation, which results in him obtaining the “Power of Kings”—an ability which allows the wielder to draw out the manifestations of an individual’s personality, or “voids.” Now an unwilling participant in the struggle against GHQ, Shuu must learn to control his newfound power if he is to help take back Japan once and for all.
Guilty Crown follows the action-packed story of a young high school student who is dragged into a war, possessing an ability that will help him uncover the secrets of the GHQ, Funeral Parlor, and Lost Christmas. However, he will soon learn that the truth comes at a far greater price than he could have ever imagined. [Written by MAL Rewrite]
Following a sudden outbreak of psychokinesis in 0.1% of the population, a rapid transformation swept the world. The godlike ability to manipulate matter remotely turned many power wielders to violence, inciting a long period of upheaval. Finally, after a chaotic era shaped by the rise and fall of oppressive regimes, the psychic humans were able to achieve a fragile peace by isolating their society, creating a new world bound by complex rules.
In the town of Kamisu 66, 12-year-old Saki Watanabe has just awakened to her powers and is relieved to rejoin her friends—the mischievous Satoru Asahina, the shy Mamoru Itou, the cheerful Maria Akizuki, and Shun Aonuma, a mysterious boy whom Saki admires—at Sage Academy, a special school for psychics. However, unease looms as Saki begins to question the fate of those unable to awaken to their powers, and the children begin to get involved with secretive matters such as the rumored Tainted Cats said to abduct children.
Shinsekai yori tells the unique coming-of-age story of Saki and her friends as they journey to grow into their roles in the supposed utopia. Accepting these roles, however, might not come easy when faced with the dark and shocking truths of society, and the impending havoc born from the new world. [Written by MAL Rewrite]
In the distant future, earthquakes and the effects of global warming have splintered Japanese society. Some struggle hand-to-mouth in the jungle-tangled ruins of civilization. Some live comfortably within the closed-off city of Atlas. Others lurk online, anonymously hacking the global economy. As nature grows more violent and the divide between classes expands, one spirited girl—Kuniko—must face her destiny and lead her people into the utopia of Atlas. The city’s ruthless government isn’t going to welcome them with open arms, but Kuniko won’t give up until the gates of Atlas are kicked open for good—even if it means discovering that the promised land she dreamed of is built upon a foundation of twisted secrets and lies. (Source: FUNimation)
The world is bigger than you think…
After the explosion of the methane hydrate layer, the remaining members of mankind are forced to live in isolated domed cities scattered across the arid and inhospitable planet. They live in a controlled society and are assisted in daily life by autonomous robots called AutoReivs. In one of these cities, Romdo, Inspector Re-l Mayer, granddaughter of the regent, leads an investigation concerning AutoReivs that have gone mad after being infected by the Cogito virus. In the process, she comes in contact with a monster called Proxy. Elsewhere in the city, immigrant Vincent Law is on the run after being framed for involvement in several Cogito cases. Together, along with the adorable child-AutoReiv Pino, they set out on a journey to the dome city Mosk in order to unravel the mystery of the Proxies. (Source: MyAnimeList)
In the future, humans are living on colonized planets and are controlled in every aspect of their life by a system of computers. Evolution has resulted in the birth of people with extraordinary powers. This new race is called Mu. Hated and feared by the humans, the Mu dream of a place to live in peace: Earth—a mystical far away planet—for humanity had to leave their home long ago as pollution and destruction increased and made it impossible to stay there any longer.
Jomy is a boy excitedly awaiting his birthday, the day he will enter the world of adults. Yet he knows nothing about the unknown powers sleeping in him and the shared dream of returning to Earth one day. (Source: MyAnimeList)
In an alternate version of the present, Tokyo has been stricken by a shocking terrorist attack, and the only hint to the identity of the culprit is a bizarre video uploaded to the internet. The police, baffled by this cryptic clue, are powerless to stop the paranoia spreading across the population.
While the world searches for a criminal mastermind to blame for this tragedy, two mysterious children—children who shouldn’t even exist—masterfully carry out their heinous plan. Cursed to walk through this world with the names Nine and Twelve, the two combine to form “Sphinx,” a clandestine entity determined to wake the people from their slumber—and pull the trigger on this world. (Source: FUNimation)
In some distant future, it’s common knowledge that all wolves have been extinct for 200 years. However, it seems this is false as wolves have not disappeared but rather have taken human form. Kiba, a lone wolf, wanders into a city, trying to sniff out the Lunar Flowers that are supposed to lead whoever follows the scent to paradise. The source of the smell is Cheza, a girl who sleeps in what appears to be suspended animation in a lab. She and the wolves are drawn to each other, and Kiba hopes to find paradise once he finds the source of the scent of Lunar Flowers. However, once Kiba finds Cheza, she is kidnapped by a mysterious person called Darcia, and his search begins anew. Before he leaves the city, he meets 3 other wolves, Tsume, Hige and Toboe. All four wolves have very different personalities and ideas, and their friendliness towards each other is a little rough around the edges. However, they soon band together to continue to search for paradise. (Source: ANN)
References: MyAnimeList, Wiki, ANN