I don't think people much younger than me have any idea how prevalent the idea that world could be destroyed in a matter of minutes was in the 1980s. Here are a few examples of what you might hear in the radio.
  1. Nena- 99 Luftballons
  2. OMD- Enola Gay
  3. Frankie Goes To Hollywood- Two Tribes
  4. Morrissey- Everyday Is Like Sunday
  5. Shona Laing- Soviet Snow
  6. Modern English- I Melt With You
  7. Was (Not Was)- Walk The Dinosaur
  8. R.E.M. 'It's the End of the World as we Know it'
    Suggested by @angela3950
  9. Timbuk 3: The Future's So Bright, I Gotta Wear Shades
    Suggested by @andersun