Toji no Miko: Kizamishi Issen no Tomoshibi OVA

The Toji, a group of shrine maidens, are tasked with exorcising "aratama," supernatural threats to the human world. They're unique in that they wear school uniforms and carry swords, serving as an official police unit. Authorized by the government, they attend one of five designated schools, where they receive training in combat skills. The schools then select their top Toji to compete in an annual tournament, which prompts a period of intense training among the participants.