Hakuoki ~Demon of the Fleeting Blossom~

The protagonist, Yukimura Chizuru, is the daughter of a doctor who works in Edo. The father leaves Edo to work as a volunteer doctor and moves to Kyoto without his daughter. As time passes by, Chizuru starts worrying about losing contact with her father, so she decides to go to Kyoto in search of him. On the way, Chizuru is attacked by few criminals and witnesses a fight between an oni and the Shinsengumi. Taking her into custody and saving her, the Shinsengumi debate on what to do with Chizuru when they discover that she is the daughter of the doctor they are also looking for. So they decide to become Chizuru's protectors and help her look for her father (the doctor). Lots of events happen while she stays with the Shinsengumi, as they discover mysterious secrets and also fight against the Bakumatsu group. The story is overall romantic with a historical and political background. (Source: Hakuouki official website)

Meiji Tokyo Renka

On the night of a crimson full moon, high school girl Ayazuki Mei enters into a box. When she awakens, she's in Tokyo during the Meiji Period! The lost and confused Mei is taken to the Rokumeikan, a lavish ballroom full of powerful high officials. In this world, during the "Misty Hour" between sundown and sunup, "mononoke" appear. Those who can see them are called "Tamayori," and Mei herself possesses this power. As she navigates an unfamiliar life, romance begins to bloom between Mei and these men -- and the power of the tamayori will only strengthen their bonds. (Source: Crunchyroll)

Kakuriyo -Bed & Breakfast for Spirits-

The series centers on a female college student named Aoi, who inherited the ability to see spirits from her late grandfather. Aoi prides herself on her cooking, and one day she's feeding some agricultural spirits when suddenly a god and the master of the "Tenshinya" (Heavenly Inn) appears and takes Aoi away. He says that due to her grandfather's debts, she must become his bride. Aoi hates this idea and instead declares that she will pay back her grandfather's debt by working at the Tenshinya. (Source: Anime News Network)

Kamigami no Asobi

The story revolves around heroine Yui Kusanagi, who is ordered by Zeus, a god and the headmaster of a school he created, to teach the meaning of love to young and handsome gods. The reason he has for doing this is to cancel the negative effects of the weakening bond between the world of the divine and the world of the humans. (Source: Anime News Network)