The 'mysterious school comedy' centers on the unusual members of a high school literary club. Touko Amano, a high school senior who calls herself the 'literary girl' as the club president, is actually a supernatural creature (youkai) that devours stories ? she tears pages from books to munch on them. Her club subordinate is Konoha Inoue, a second-year high school boy who writes stories every day for Amano to eat. He once wrote an award-winning novel, but he wrote it under the penname Miu Inoue so readers thought the author was a mysterious 14-year-old bishoujo novelist. The stress from the novel's fame and its movie and television drama plans turned Inoue in an introverted recluse.
H2O Footprints in the Sand: Comedy, Drama, Harem, Psychological, Romance, School Life, Seinen, Slice of Life, Supernatural, Tragedy <--A bit like Higurashi
Takuma Hirose, a blind young male high school student, though the cause for his blindness is undetermined. After his mother died an unexpected death, it left a deep emotional scar on him, which caused him to become very lonely and reserved. Due to this, Takuma and his father move from the city out into a rural area and Takuma is enrolled into a new high school. At his new school, he meets several new girls, though three of whom he gets to know the most out of anyone else. They are, the firm and obstinate Hayami Kohinata, the kind and obliging Hinata Kagura, and the cheerful and mysterious Otoha. As Takuma interacts with these girls, his medical condition gradually begins to heal.
Myself; Yourself: Daily Life, High School, Love Polygon, Romance, Tragedy <-- A bit like Higurashi
Hikada Sana returns to his hometown after 5 years away living in Tokyo. Although there are some changes to the town, most has remained the same. On a detour to his apartments, he notices a girl in a shrine maiden outfit watching him when he visits the shrine. He finds out, the next day at school, that this girl is actually Yatsushiro Nanaka , his old childhood friend whom he gave a bracelet to before he left, that she still wears, even to this day.
Sola: Action, Drama, Fantasy, Psychological, Romance, Supernatural <-- A hint of Supernatural, but still in the range of what you seem to enjoy
Yorito Morimiya loves taking pictures of the sky so much that one day, he wakes up at 4 am to take pictures of the sunrise overlooking the bay. However, he is deterred when he meets a strange girl trying to force a vending machine that stole her money. Yorito helps her with forcing the machine but when the machine finally vends, the girl has mysteriouslly vanished.
And the one I always recommend regardless of requirements--
Ghost Hunt: comedy, drama, horror, mystery, psychological, supernatural
Telling ghost stories is a favorite past time of Mai Taniyama and her friends--that is, until she meets 17 year-old Kazuya Shibuya, the man sent by Shibuya Psychic Research Center to investigate paranormal activity at a supposedly haunted school. When Mai gets caught in a dangerous situation, she is rescued by Kazuya's assistant. Saving her lands the assistant incapacitated, and Kazuya demands that Mai become his assistant, instead...