天保異聞 妖奇士

In the year of Tenpo 14, Yoi, monsters from another world attack Edo. Those who fight against them are members of Bansha Aratemesho. In public, Bansha Aratemsho is known as an organization to study foreign books. In fact, they are a organization dedicated to destroying the Yoi. These warriors are called Ayakashi. They gather information of odd events in the country, and are sent to destroy Yoi who appear. They are generally very strange people. For example, a guy who has lost his memory, a girl who dresses like a man. They have special powers with which to beat the Yoi.

(Source: AniDB)