I would probably nominate this one -- not one bad song in the bunch (in fact most are downright fantastic) and one I could listen to several times over -- from 8/20/83:
10: I'LL TUMBLE 4 YA - CULTURE CLUB
9: PUTTIN' ON THE RITZ - TACO
8: FASCINATION - THE HUMAN LEAGUE
7: IS THEIR SOMETHING I SHOULD KNOW - DURAN DURAN
6: IT'S A MISTAKE - MEN AT WORKS
5: STAND BACK - STEVIE NICKS
4: MANIAC - MICHAEL SEMBELLO
3: SHE WORKS HARD FOR THE MONEY - DONNA SUMMER
2: SWEET DREAMS - THE EURYTHMICS
1: EVERY BREATH YOU TAKE - THE POLICE
This one is pretty tough to beat as well (other than "Almost Paradise") - from 7/14/84:
10: LEGS – ZZ TOP
9: THE HEART OF ROCK ‘N’ ROLL – HUEY LEWIS & THE NEWS
8: GHOSTBUSTERS – RAY PARKER JR.
7: ALMOST PARADISE…LOVE THEME FROM “FOOTLOOSE” – MIKE RENO AND ANN WILSON
6: SELF CONTROL – LAURA BRANIGAN
5: THE REFLEX – DURAN DURAN
4: EYES WITHOUT A FACE – BILLY IDOL
3: JUMP (FOR MY LOVE) – THE POINTER SISTERS
2: DANCING IN THE DARK - BRUCE SPRINGSTEEN
1: WHEN DOVES CRY – PRINCE