From Slate:

The only “weird” thing about Weird Al Yankovic (and it’s not weird in the way he seems to want it to be weird) is that he insists on calling himself weird. The tag, at this point in his career, is like an appendix or a vestigial tail—a remnant of an earlier evolutionary phase, now a little misleading. It’s a spray-on, pseudo-zany veneer that manifests itself mainly as an unshakeable faith in the hilarity of Hawaiian shirts and hamsters; it’s incidental to the rigorous logic of his actual comedy….Unlike Salvador Dalí or Mel Gibson, Yankovic isn’t essentially weird—i.e., a figure with whom we have nothing in common. In fact, the opposite is true. Weird Al’s essential service is to point out that, from the perspective of the middle-class suburban lifeworld, pop culture itself is weird. This is the paradox of Weird Al’s weirdness: He’s actually Normal Al, a common-sensical, conservative force. He’s Everyman trapped on Neverland Ranch, exposing as many stylistic excesses and false profundities as he can.