Tantei Gishiki(2004)

In the year 2290 in Tokyo, a powerful detective association financed by the state is in charge of resolving criminal cases, relegating the police to the background. Although now a new generation of detectives with supernatural powers has appeared that threatens their supremacy. In this climate, the "detective ritual" is convened, a shady initiation ceremony for the Order of Gentlemen Detectives that is carried out on a mysterious island that only appears on special days.