Eru Yamada can't seem to get away from the supernatural. She's being stalked by a vampire. Her teacher is a werewolf, who also happens to think she belongs to him! As if that wasn't enough, yet another boy with supernatural powers shows up, trying to get her to fall for him, and she winds up with a rival in love who has dangerous powers as well!

From MangaHelpers: Summoned into an alternate world of Alayzard, Ousawa Akatsuki helps defeat the demon lord, brings harmony back into the world and, under the demon lord’s last request, takes the demon’s only daughter back into Akatsuki’s own world. It turns out that being teleported into a different world is somewhat of a common occurrence. Those who find themselves back home often come back with the power to use magic and the world organization fearing people like Akatsuki created Babel, a school to teach and keep tabs on the magic users. Akatsuki is able to pull the demon lord’s only daughter into Babel as his sister, Ousawa Miu. A new chapter for Akatsuki is about to begin in his own universe. [vyc]

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. This is the version running in Sylph and not B's-LOG.