Staring Problem play that moody indie rock that was really popular in the 80's among the Goth kids at your high school. However, all those bad production tactics that were prevelent back then are absent here. It's a much more raw, unfilted take on the style and it's pretty well done.
There's a nice canvas here of echo-laden female vocals, clean guitar and understated drums with some low tone bass/organ backing it all up. It all creates a dreamy sort of sound, but still down to earth and accessible.