Anime

Serial Experiments Lain

Lain Iwakura, an awkward and introverted fourteen-year-old, is one of the many girls from her school to receive a disturbing email from her classmate Chisa Yomoda—the very same Chisa who recently committed suicide. Lain has neither the desire nor the experience to handle even basic technology; yet, when the technophobe opens the email, it leads her straight into the Wired, a virtual world of communication networks similar to what we know as the internet.

Haibane Renmei

Born from a cocoon in the village of Old Home, a young Haibane—a being with a halo and small gray wings—awakens to a world she does not understand without memories of her past. Named Rakka for the dream of falling she had while inside the cocoon, she soon becomes accustomed to life in the strange town.

Houseki no Kuni

A bunch of rock people fight the moon.

Amanchu!

Originally from a big city, Futaba Ooki spends most days cataloguing her life through pictures on her phone. Upon moving to a seaside town, she gazes out over the vast expanse of sea and quickly becomes captivated by its endless possibilities. Unbeknownst to Futaba, her quiet contemplation catches the attention of local diving enthusiast Hikari Kohinata. Finding herself in the same class as Futaba the next day, Hikari is drawn to her quiet and shy demeanor and affectionately nicknames her Teko, sparking a tender friendship.

Ai-Mai-Mii

The story follows girls in a manga club—Ai, Mai, Mii, and Ponoka-senpai—who might be fighting evil invaders threatening Earth, facing off against rivals in tournaments, and dealing with other absurd situations when they are not drawing manga.

Paranoia Agent

An elementary school kid dubbed with the title "shounen bat" or "lil slugger" has been going around attacking people with his bent, golden bat. Now, two detectives are investigating so they can stop this kid from making any more attacks, but they will find out soon enough... that this case is much more than they expected.

Koisuru Asteroid

When she was little, Konohata Mira promises a boy she meets at a campsite that they can find a galaxy together. When she enters high school, she joins the astronomy club. But that year, the astronomy club happened to combine with the geology club, making it the astrogeo club?!

Good old mindless yuri subtext (that if you're lucky is just text).

Kotoura-san

Kotoura Haruka is a 15-year-old girl who can read people's minds. She has been suffering from troubles caused by her mind-reading ability, and her parents got divorced as a result. She moves to a new high school but tries to keep away from her classmates. Manabe Yoshihisa, one of her classmates, accepts and appreciates her ability and she begins to interact with her friends with his help.

A story of Harukafinding people who love her. Notorious for it's devistating trauma congaline of a beginning. Extremely sweet and enjoyable if you don't find the male lead's perversion insufferable.

To add:
Itai no wa Iya nano de Bougyoryoku ni Kyokufuri Shitai to Omoimasu.
BNA
Yuri Kuma Arashi
BEASTARS
Key the Metal Idol