OK, here are the best 80's as likely to be chosen by the CBC gurus:

(1) Pride (in the Name of Love) - U2
(2) How Soon is Now - The Smiths
(3) Fight the Power - Public Enemy
(4) The One I Love - R.E.M.
(5) Once In a Lifetime - Talking Heads


And here are my faves:
(1) Teenage Riot - Sonic Youth
(2) South Central Rain - R.E.M.
(3) Monkey's Gone to Heaven - The Pixies
(4) Undertow - the Feelies
(5) The Cure - In Between Days

Honourable Mention: The Psychedelic Furs - Ghost in You; Guadalcanal Diary - Fear of God; The Replacements - I Will Dare; The Smiths - This Charming Man; The Thompson Twins - Doctor Doctor (just kidding).

Probably forgotten a few but this will do for now.