Please Save My Earth

Alt title: Boku no Chikyuu o Mamotte

If you're looking for anime similar to Please Save My Earth, you might like these titles.

Shadow Star Narutaru

Shadow Star Narutaru

While visiting her grandparents on a remote island, Shiina Tamai, our young protagonist, inadvertently finds a strange star shaped creature, which she names Hoshimaru. This creature, while seemingly harmless and unusual, holds many secrets. As Shiina and her new friend Akira soon find out, their creatures are much more than they seem to be...and against their will, they are thrown into a dangerous and hostile situation of trying to save the world from others who would use their dragonets to enslave it.

I agree

Midori

Midori

Midori is a young girl who sells flowers until her mother dies, leaving her an orphan. She’s conned by a freak show manager into joining his troupe, but once there she sees a shocking variety of deformed people and is occasionally the victim of their depravity. Midori’s situation changes, however, when a mysterious dwarf with a unique magical act joins the freak show. This dwarf is able to put himself through a bottleneck into a glass jar – and that is not the extent of his powers. Midori falls in love with the dwarf, but his ambitions and jealousy will have further unpleasant consequences...

I agree

Schwarzesmarken

Schwarzesmarken

In 1983, the East German Army 666th TSF Squadron, “Schwarzes marken,” is a special-response force tasked with assaulting BETA forces. They specifically target Laser and Heavy Laser class BETA to disable their enemy’s immense firepower. This merciless team’s orders are given the highest priority, and they follow them so exactly that the 666th is known to ignore allied distress calls that would interfere with an ongoing mission, even if only for a moment. 

I agree

Hell Girl: Fourth Twilight

Hell Girl: Fourth Twilight

Ai Enma and her companions are back, continuing to make contracts with desperate people willing to trade their souls to Hell to get revenge on their enemies. But now the wandering spirit of a young girl seems to be following them. She has no memory of who she is, nor does she understand why she is being made to bear witness to Ai's actions. Just what is her connection to Hell Link?

I agree

Night Head Genesis

Night Head Genesis

It is said that humans fear what is different, and that such fears drive much of human behavior. Naoto and Nayao learned the brutal truth of this statement when they see the looks on their parents’ faces, the day they were sent to an isolated laboratory to live out their youth. Their crime? Possessing inherent psychic abilities. Yet now, the brothers have escaped and are at last free to experience the world, but they soon discover that their prison was also their protection from the outside world. The question is, are their powers more dangerous to themselves, or those around them?

I agree

The King of Pigs

The King of Pigs

Unflinching in its depiction of violence, The King of Pigs begins moments after the brutal murder of a woman at the hands of her husband, a once-successful businessman, Hwang Kyung-mi (Oh Jeong-se, The Unjust), and flashes back to his school days and the abusive events that have shaped his life and that of his estranged fellow classmate Jung Jong-suk (Yang Ik-june, Always Behind You). As school boys, both men were considered part of a lower class of student known as “pigs.” Pitted against the affluent, upper-class “dogs,” the “pigs” hope an end to the abuse will come in the form of transfer student Kim Chul (Kim Hye-na, Flower Island), a rebel who will show the cowering students how to fight fire with fire.

I agree

Texhnolyze

Texhnolyze

In an experimental city of despair and carnage, ORGANO will do anything necessary to gain power and wealth. Unfortunately for one underground boxer who was mutilated, a rogue doctor has given him what ORGANO specializes in and he despises: Texhnolyze body parts. Will these cybernetic appendages help exact his revenge upon the one who made him this way?

I agree

Kara no Kyoukai Movie 3: Tsuukaku Zanryuu

Kara no Kyoukai Movie 3: Tsuukaku Zanryuu

One night, Mikiya helps a girl who is lying doubled over with stomach pains. Around that time, a number of dismembered bodies are found throughout the city. The murder victims are torn apart so badly that they don't seem like the work of a human.Shiki finds the perpetrator of those crimes, who turns out to be the girl that Mikiya had saved. Her name is Fujino Asagami. Like Shiki, who possesses the Mystical Eyes of Death Perception, Fujino has the psychokinetic power to bend anything. At the end of a battle, what Shiki decides is...

I agree

Orange

Orange

Everyone has regrets in life. So who wouldn't take the chance to change the past if given the opportunity? When sixteen-year-old Takamiya Naho receives a mysterious letter, claiming to be from her twenty-seven-year-old self, her life is suddenly thrown into flux. The letter tells her that a new transfer student by the name of Naruse Kakeru will be joining her class, and to keep her eye on him. But why? Naho must decide what to make of the letter and its cryptic warning, and what it means not only for her future, but for Kakeru's as well.

I agree

Speed Grapher

Speed Grapher

Ten years have passed since the demise of the bubble economy, a time that polarized the world into two groups of people: the rich and the poor. In the present day, Saiga Tatsumi (a former war photographer) has been hired to investigate a secret club for the rich named the Roppongi Club, but he soon discovers secrets much darker than he’d ever imagined. With the help of a exploited goddess named Kagura, Saiga now possesses the power to kill by simply taking a photograph; but can he stay alive long enough to save her from her captors?

I agree