I remember an Anime I watched before 2015, which contained the following:
- The male protagonist was kind of best friends & rivals with a girl
- The reason for the rivalry was some sort of heredity rivalry from the families
- At night the two would don Hakama and a white(?) Kosode, sleeves tied up with Tasuki
- Dressed like that and armed with paper figures they'd go and fight monsters/spirits, for example at their own high school.