I did a different 80s

Here's a few old favorites off the top of my head in no particular order...
The Damned - Shadow of Love
Sisters of Mercy - This Corrosion
Edelweiss - Bring me Edelweiss
Tenpole Tudor - Wunderbar
Oingo Boingo - Almost any song, especially "Only a Lad" and the remix of "Dead Man's Party".
The Cure - In Between Days
Red Hot Chili Peppers - Knock Me Down
REM - It's the End of the World as We Know it, Fall on Me, World Leader Pretend
Depeche Mode - Behind the Wheel/Route 66 megamix
The Clash - Death or Glory, Clampdown
CCCP - American Soviets
Cocteau Twins - Carolyn's Fingers
Plasmatics - Black Leather Monster
The Flying Lizards - Money
Kate Bush - Wuthering Heights
Pet Shop Boys - Left to My Own Devices
Gary Numan - Down in the Park
I'm sure I'll think of dozens more as soon as I click Submit.
Nice to see a couple of Madness songs in there, I would have added "Our House" and "One Step Beyond".