He died, only for a minute. Minakawa Ryo was an ordinary high-school student until the day a girl jumped off a building, killing him with her. He miraculously comes back to life but with a new ability to see and hear what ordinary people cannot. Then one day a mysterious girl, Hokuto Shou, appears and tells him that his half has become a resident of the world of the dead. His previous ordinary life has dissipated, and a new life between the "living" and the "dead" begins.

Included is a special arc called A King and a Baron+.

From MangaHelpers:
Himeji Wakaba is a 5th-year elementary school student, and she has the ability to see things that others can't. They are mostly frightening evil spirits, and they tend to do bad things to people who are close to her. As a result, Wakaba has no friends and rarely smiles. On a couple of occasions, she brings home stray animals, but her parents won't let her keep them. However, they're worried about their sad, creepy daughter, so one day they decide that whatever Wakaba brings home next, they'll let her keep.
The next thing she brings home is a pink monster called "Pupipo," but her parents stand by their decision and let her keep it. No one is quite sure what Pupipo is, but it protects Wakaba from the other things she sees. Pupipo also helps Wakaba make friends with an occult-obsessed transfer student and solve problems with bullying. Wakaba's life is a much better place with her pet pink monster!

Can't find a way to break up with your boyfriend/girlfriend? These people will do it for you.

Kashiwagi has a special ability. When she touches someone, she can see their future romance. But Kashiwagi doesn't know anything about romance herself and can't determine whether the scenes she sees are happy or sad endings. Kashiwagi works at a cafe, known as the "break-up cafe", managed by Sano and in which Konno works as clerk.

The ever lasting war between good and evil rages on..or at least that's what he was lead to believe!A young boy becomes the prize for which the legions of heaven clash with the hordes of hell.Being deceived by God and prosecuted by Satan,Malei Damakotto bears the burden of power that could be a grand asset or a terrible scourge for either one!Malei will stand against a fate predetermined by the self proclaimed lords of this world and bend both the will of light and malice of darkness under his fist!Wings shall break and claws shall shatter as he enters the battle of battles on his own right!

From Wikipedia :

Two years ago, a pair of idols, Tsubasa Kazanari and Kanade Amō, collectively known as ZweiWing, fought against an alien race known as Noise using armor known as Symphogear. To protect a girl named Hibiki Tachibana, who got severely wounded by the Noise, Kanade sacrificed herself. Two years later, as Tsubasa has fought the Noise alone, Hibiki ends up gaining the same power as Kanade.

Atori and Ruu live at a shrine abandoned by its deity. Ruu can see the chains of attachment that ties a person down, and Atori can cut that chain.

When there is darkness in your heart, when you want someone to disappear, he will find you and grant your wishes
Shizuku used to being the best at everything, but when a transfer student comes to steal her spotlight, she is overcome with jealousy. Hal, a death god, offers her a bargain“he'll kill three people for her and by kill, he means he'll make it so they never existed. All she has to do is say the word.
But when Shizuku gives in to temptation, there will be consequences!

Kurenai Shinkurou, a 16-year-old dispute mediator, is one day approached by the daughter of a powerful plutocratic family asking him to be her bodyguard.

A romantic comedy involving Souji Shirosaki a student, who is in high school, whose personality can not leave out people in need. And Ichino Moritsuka, 16, a friend in the same class as Souji, who lives alone in an apartment near the mountains. Together, they discover they have strange psychic powers, founding a club game.

Teenage Shakuya, the next head of the Dragon Clan, suddenly finds herself with two fiancés! The first vanished years ago but has now mysteriously returned. But betrothed number two is not about to just step aside. What's a girl to do? Her mother decides that at the end of a year, Shakuya will marry the man she has the strongest feelings for. How that will be determined is by "magic tattoos" on both of Shakuya's hands, each representing one of her suitors. As her love grows, so do the tattoos! And complicating all of this is that fact that whenever Shakuya gets upset, she turns into a fearsome dragon!

From DarkoNeko:

This is a post-war world where human-shaped weapons called scabbards exist. Cuifa and Livia are traveling government agents looking after the declining scabbard population, checking on their living condition, potential abuses, and the worthiness of their masters.

Yonagahiko - a god(?) with a human face and a serpentine body - lives on a mountain-side with a small, mysterious boy named Tetsuichi. There is a popular legend about that mountain; a legend which tells the tale of a human who once slew the mountain god and gained possession of his powers...

A small group of people, descended from a particular bloodline, have the ability to negate a sphere of reality and neatly remove it from existence. Continuous use of this power alters the user's appearance until they come to resemble a none-too-pretty alien.

But what does this have to do with an out-of-the-way town in Japan, a group of university students from Tokyo, and a series of mysterious disappearances and deaths?

From AnimeWaves:
Shindou just became a new investigator for Tokki: The Special Mobile Investigation Force. On the day of his graduation, he finally saw the half-naked girl that he had always saw in his dream in real life and finds out that she's part of Tokko: The Special Public Safety Task Force. Shindou ends up joining Tokko to avenge his parents' deaths, whose bodies were ripped into pieces...

In a parallel 21st century Japan, an enemy with incredibly advanced technology attacks mainland Japan from Hokkaido, shattering the Japanese Defense Forces and their American allies. Japanese military scientists use what enemy technology their troops can capture to create their own mecha to fight off the enemy's advance.

But what does this have to do with a boy named Yuu, a mechanical genius with motion sickness, and his separation from his younger sister for over 7 years? Why does she suddenly appear after all that time, dressed as a miko and shadowed by a fox, at the temple where Yuu lives with his uncle? Is she who she says she is?

She reappears in his life just as military secrets and his own secret burden of a psychic power shake up his socially estranged life. And then the war advances...

A weapon only permitted to a chosen few, and two men who use their weapons for two entirely different purposes.

Iori is a timid, feminine boy. Masaru is an aggressive boy who leads the other boys in bullying Iori. One day, they encounter a pair of strange extraterrestrial bunnies who turn them into magical girls in order to fight aliens that are invading their town.

Himeno's chest hurts if any boy touches her because her heart is a diamond. However, when she was young, she befriended two boys--gentle Mamoru and blunt Keigo--who could touch her without harming her. Without knowing about her diamond, both Mamoru and Keigo promised to protect Himeno. When some people threaten to take Himeno's heart, who else will protect her but her knights?

Mizumura Shinta didn't know what to make of the situation when the sexiest girl in school, Kishimoto Ririsu, starts seducing him and things get extremely physical. Shinta isn't rich or the popular guy in school so it doesn´t make sense that Ririsu would be so interested in him. But Ririsu is in fact a vampire, a secret that she will kill to keep hidden. As the relationship between Shinta and Ririsu grows, it gets harder for her to keep the secret hidden from him. And when those close to him, like his semi-romantic childhood friend Makimura Chizuru, are involuntarily thrown into the chaos, deep dark secrets get revealed.