If you're looking for anime similar to Asagiri no Miko, you might like these titles. All recommendations are made by Anime-Planet users like you!
Eighteen years ago, the Platinum Tiara, which gives its wearer magical powers, was reassembled. At the same time, five "Princesses" were born, to the worlds of Earth, Heaven, Celestrial, Fairy, and Hell. These five princesses quit maturing at the age of 10, and are all competing to become THE Platinum Princess so they can grow up. This story is centered on Yuuchi, from the kingdom of Earth.
Saga is an ordinary girl who lives her life by planning everything ahead of time. Unfortunately, having a waffle-loving Snow fairy called Sugar follow her home was not a part of these plans! Together with apprentice fairies Salt and Pepper, Sugar must find the 'twinkles' that will make their magical flowers blossom, thus turning them into fully fledged season fairies. The trouble is, none of them actually knows what a 'twinkle' is! And so, with help from Saga and other friends, the trio begin their search, whilst having fun and perfecting their magic along the way.
Maiku Kamishiro has always had a photo of himself as a child in front of an old house with a young girl. One day after spotting the building in a news report, the high school boy moves to the countryside to live in the house from the picture. While living alone, making ends meet by working as a freelance programmer, Maiku gets the shock of his life when not one, but two girls turn up on his doorstep claiming to be his twin sister! With the lively Miina and timid Karen both possessing the same photograph, the pair begins living with the confused Maiku as they try to figure out which one of them is actually his sister.
Both of these animes lie pretty far along the spectrum towards cutesey style, and the way in which the romantic aspect of the plot (which is most of it, really) is similar, comprising a great deal of blushing. NOTE that Onegai twins is quite a bit more ecci than asgiri no miko, so if your looking at this from the AnM side...
Deep in the mountains lies a library with the same name as one of its caretakers, Kokoro. With her sisters Inna and Aruto, she strives to uphold the best characteristic of a librarian -- to help users with all her heart. Join young Kokoro as she starts the journey to become a full-fledged librarian, while learning about life, and being the best she can be.
Kyouta and his friends just want to rock out all day and night long, and with a new record deal, it seems they'll be able to do just that. But when the women around him, including his best friend Yokko, start revealing strange powers, Kyouta finds himself at the crux of an ancient conflict, torn between love and loyalty.
Overall, Asagiri no Miko and Aquarian Age give different moods in their atmosphere, but there are a few events that give off the same feel, especially during battles. Both involve spiritual seals and Miko. I found that the main trial they went through developed in a similar way. Aquarian Age has deeper drama and great animation.