Bauhaus (and Love & Rockets and Tones on Tails side-projects)
Christian Death
Echo & The Bunnymen
David Bowie (without whom most of new wave and goth wouldn't have happened)
The Cars
Peter Gabriel (So album and before)
Pixies
B-52s
Sugarcubes (Björk on vocals)
Chris Isaak
The Police
Old [solo] Sting
The Units
XTC
Edit: formatting