Lizzy Mercier Descloux

a French progenitor(tress?) of early no wave (writing as Rosa Yemen) and later various new wave, disco, and worldbeat sounds, Lizzy Mercier Descloux certainly did not stick to one style of songwriting. The following song, from her second album (as Lizzy), Mambo Nassau (1981) perhaps best melded her early no-wave and new wave roots with her danceable beats and definitely funk-ified world music consciousness:

Non Band

"Duncan Dancin'" from their 1982 self-titled LP:

Glenn Branca

Glenn Branca is considered one of the most influential forces in the No Wave movement which started in NYC in the late 70s. ...essentially No Wave was a reaction to all of the synthesized pop taking over the commercial market. it was a complete destruction of pop music, replacing melody with noise and structure with abstraction.
this is an excerpt from "Bad Smells" from 1980's Lesson No. 1 for Electric Guitar:

"Structure", from The Ascension, 1981: