I don't really know how to describe Priests, other than that they've been one of my favorite bands for a long time now. Their sound changes with each album, from the punk Bodies and Control and Money and Power to the more experimental, sometimes pop-y sound of The Seduction of Kansas. Nothing Feels Natural is a perfect blend of the two sounds, and my personal favorite album.
While their sound changes, the messages are consistent. Priests take on inequality, capitalism, and the futility of American two-party politics in each of their albums. Katie Alice-Greer is a great songwriter, and tackles these issues with intelligence.
priests fans grab your indefinite hiatuses :/ (credit appreciated but not mandatory):