Lin knocking out a possessed guy with approximately no effort at all was pretty dang cool.
Naru destroying a minor god by shooting lightning at it.
Ayako proving her worth as a priestess.
Mai gets her awesome moment during the Forgotten Children arc in the manga. She solved the case almost all by herself, with a little guidance from Gene.
Takigawa unmasking Naru as Oliver Davis. It was a parade of awesome. Some of the others had a part in it, but it was mostly his moment. Naru even declined to comment because he said he didn't want to steal Takigawa's spotlight.