Jawbreaker could be easily described as a pop-punk band with more of a dark side.
Not that this isn't true, but it just wouldn't do this trio any justice to their poetic lyrics and complex song structures.
With Unfun, a very influential record way ahead of its time, they make a name for themselves -- not as your run-of-the-mill punk band with a verse-chorus-verse style, but rather as a band that provides fitting background to the personal side that they're not afraid to show.
For example, take one of the more energetic songs on the album, "Busy," in which the person offers a helping hand to a friend on the verge of mental collapse ("When nothing seems to be quite worth it and sleep becomes the only sure thing/I'm here to help you out of it/Come and see me for a lift").
But two tracks later, self-doubt and guilt are present in "Wound": "Feel my burning rash/Old scabs on my back/Deep red welts from hating myself/I was once, once so strong." Quite an emotional roller coaster, but at the same time it gives Unfun its edge and originality.