(Date of description: 6:05 AM on November 14, 2014; Taipei/Manila Time Zone)
Kannazuki no Miko, or Destiny of Shrine Maiden, is already 10 years old, for it was aired in 2004.
Its a must-watch for Lyra-Bon Bon shippers/fans, and the like. There is an English dub version.
This 12-episode anime = any Shoujo Ai (Girls Love) anime + any Super Robot anime (for example, Brave/Yuusha ExKaiser or Daimos)
Hint: Himeko Kurusugawa is the light-haired shy one.