Here are my favorite picks of anime like Kamisama Hajimemashita. Keep in mind the list is in no particular order. Enjoy the recommendations!
The Shirakiin house’s daughter, Shirakiin Ririchiyo, who has a complex about being unable to live independently and unprotected, feels the need to move out and live on her own under the condition of residing in the mansion named “Ayakashi Kan.” In this mansion, only those who have cleared a very strict examination could reside in it, and for each resident, they are accompanied with one agent of the Secret Service (S.S.). Although Riricho has rejected the company of the S.S., while residing in the mansion she finds out that the agent dedicated to protecting her is actually the Fox Spirit.
The world consists of two parts: the near shore and far shore. The near shore is the place where people reside, while the far shore is the place for deities and ayakashi, which are emotional fragments that can posses humans and cause trouble. So it is a deity’s responsibility to remove those ayakashi from the near shore with the help of weapons called Shinki, made from the spirits of dead people.
Yato is a minor deity of war without shrine. Together with his Shinki, Tomone, he runs a Delivery Wish Granting Service, granting wishes for only 5 yen. After his Shinki leaves him on less than agreeable terms, he decides to run simple errands that do not involve ayakashi-related matters. While on a mission to find a lost kitten, he is nearly hit by a bus, but saved by a girl named Iki Hiyori. Hiyori dies for a moment, but then comes back to life. This, however, causes Hiyori’s soul to become unstable, leaving her body frequently. So by offering 5 yen, she asks Yato to fix her body… but Yato cannot help without a Shinki, so Hiyori accompanies him on his journey to find one, in the hopes of becoming normal again. But behind Yato’s kind-hearted face lies a twisted past… (Source: AniDB)
Tooru Honda is a 16-year-old orphaned girl who gets invited to live in the house of her classmate, the handsome boy Yuki Souma, and his cousins, 16-year-old Kyou and 27-year-old Shigure. However, these young men and parts of the rest of their family (both close and distant) hold a curse; if they are hugged by the opposite gender, they transform into animals of the Chinese zodiac. Everyday is an adventure for sweet Tooru, as she gets to know everyone in the large family better (especially Yuki and Kyou), in both common and bizarre situations. But, the Souma family curse is certainly no laughing matter… It also holds horrible cruelty and heartbreak.
Based on the Shogakukan award-winning manga of the same name, InuYasha follows Kagome Higurashi, a fifteen-year-old girl whose normal life ends when a demon drags her into a cursed well on the grounds of her family’s Shinto shrine. Instead of hitting the bottom of the well, Kagome ends up 500 years in the past during Japan’s violent Sengoku period with the demon’s true target, a wish-granting jewel called the Shikon Jewel, reborn inside of her.
After a battle with a revived demon accidentally causes the sacred jewel to shatter, Kagome enlists the help of a young hybrid dog-demon/human named Inuyasha to help her collect the shards and prevent them from falling into the wrong hands. Joining Kagome and Inuyasha on their quest are the orphan fox-demon Shippo, the intelligent monk Miroku, and the lethal demon slayer Sango. Together, they must set aside their differences and work together to find the power granting shards spread across feudal Japan and deal with the threats that arise. [Written by MAL Rewrite]
Being the first female student council president isn’t easy, especially when your school just transitioned from an all boys high school to a co-ed one. Aptly nicknamed “Demon President” by the boys for her strict disciplinary style, Misaki Ayuzawa is not afraid to use her mastery of Aikido techniques to cast judgment onto the hordes of misbehaving boys and defend the girls at Seika High School.
Yet even the perfect Ayuzawa has an embarrassing secret—she works part-time as a maid at a maid café to help her struggling family pay the bills. She has managed to keep her job hidden from her fellow students and maintained her flawless image as a stellar student until one day, Takumi Usui, the most popular boy in school, walks into the maid café. He could destroy her reputation with her secret… or he could twist the student council president around his little finger and use her secret as an opportunity to get closer to her. [Written by MAL Rewrite]
References: MyAnimeList, ANN, Wiki