The spirit of Irish Folklore, the Banshee, is often depicted as having some of these powers as well. But this is not original: Actually, the Banshee announces the impending death of a human being with a terrifying wailing or screaming. Since she does only announce, not cause death, she is not an evil spirit, rather a benevolent one (she wouldn't cry, if she didn't care about human affairs). Modern depictions in pop-culture however usually treat her as an evil being, who can (and tries to) kill people with the terrifying "cry of the banshee", giving rise to the notion of the banshee as a being with "Sonic Powers".
The Chinese children's tale The Ten Brothers is about ten mystically-borne siblings that exhibit X-Men-worthy superpowers — the second youngest of the ten has a super-destructive cry.
From the Byliny (great epic poems of Russia), we have Solovey-Razboynik, or Nightingale the Robber, a human/bird hybrid monster who could stun or kill with a whistle. He was one of the arch-enemies of the Russian folk-hero Ilya Muromets.
Simeon is described in a portion of The Bible's Expanded Universe, The Book of Jasher to have a scream so loud that all pregnant women within a twenty-five mile radius will have a miscarriage.