The Melancholy of Haruhi Suzumiya

Kyon, your typical high school student, has long given up his belief in the supernatural. However, upon meeting Haruhi Suzumiya, he quickly finds out that it is the supernatural that she is interested in; aliens, time travelers and espers among other things. When Haruhi laments about the lack of intriguing clubs around school, Kyon inspires Haruhi to form her own club. As a result, the SOS Brigade is formed, a club which specializes in all that is the supernatural. Much to his chagrin, Kyon, along with the silent bookworm, Yuki Nagato, the shy and timid Mikuru Asahina, and the perpetually smiling Itsuki Koizumi, are recruited as members. The story follows the crazy adventures that these four endure under their whimsical leader, Haruhi. The story is based on the light novels by Nagaru Tanigawa. Note: This entry is for the original 14-episode 2006 airing. The series was further expanded and reordered into <a href="https://anilist.co/anime/4382/Suzumiya-Haruhi-no-Yuuutsu-2009/">a 28-episode series in 2009.</a>

The Pet Girl of Sakurasou

The first time he saw her, it was love at first sight. Unfortunately for Sorata Kanda, "she" was a cat named Hikari and his school's rules forbid keeping pets in the regular dorms. As a result, Sorata is banished to the infamous Sakura Hall alongside other troublesome and unusual students like Jin, overzealous playboy, Ryuunosuke, the reclusive hermit, and Mashiro, a brilliant artist who's so unfocused and clueless about the real world that dorm supervisor Ms. Sengoku assigns Sorata the task of taking care of her along with his ever-growing collection of stray cats! (Source: Sentai Filmworks)

Oh! My Goddess (TV)

Keiichi Morisato is looking forward to university life. But in reality, he has no luck in anything, and he has trouble with clubs, love, etc. The truth is that he has an unlucky star above his head. One day, Keiichi is stuck watching the dorm while his sempai are away, and has a mountain of chores to do to boot. But Keiichi is a good-natured person, and is set about doing his duties. As he is about to finish his final chore, he makes a phone call to his sempai. But the words that came through the receiver are, 'Goddess Help Line.' Shortly afterwards, a beautiful goddess named Belldandy appears in front of him from the mirror of his room.

Sankarea: Undying Love

Furuya's not interested in the living, he's got zombies on the brain! When Furuya's cat dies, he decides he's going to try and bring it back to life. In the process, he stumbles across a girl who is involved in an accident and turns into a real zombie! What's Furuya going to do now that the thing he loves the most is right in front of his eyes? (Source: FUNimation)

Noragami

Minor god Yato is down on his luck. Fed up with his slacker lifestyle, his partner abruptly quits. He has no money, no worshippers, and no shrine to call home. But just when things are starting to seem hopeless, a bus accident forces him to cross paths with Hiyori Iki, a sweet and perky high school girl. After the accident, Hiyori's soul has a bad habit of slipping out of her body, and after enlisting Yato's help to get her back to normal, she begins to fall into the world of spirits and gods. But Hiyori's not the only one who's keeping tabs on Yato. A god from Yato's past is back, and he's not interested in a friendly reunion. (Source: Funimation)