Not that I was a child of the '80s, or anything:

The Alarm
Depeche Mode
The Associates
The Cult (both in Goth and 'dad-rock' versions!)
Teardrop Explodes
Echo & The Bunnymen
Jesus & Mary Chain
New Order
My Bloody Valentine
The Pixies
Nirvana
Sisters Of Mercy
Alien Sex Fiend ( )

And loads and loads of obscure local bands that never amounted to anything.