Songs? I could easily list several hundreds I love....well not easily, it would take me far more time than the list below.
I'll list my favorite albums instead (and yes, I bought them all - in the 80s, on vinyl):
ABC - Lexikon of Love (the most pretentious and best of all those great early 80s UK new romantic pop albums)
Anita Baker - Rapture
David Bowie - Let's Dance
Kate Bush - Never for Ever, The Dreaming, Hounds of Love, The Sensual World (female artist of the decade)
The Cure - The Head on the Door, Kiss Me Kiss Me Kiss Me, Disintegration
Depeche Mode - Some Great Reward, Music for the Masses, Violator (I count Violator as the most perfect 80s pop album even though it was released in March 1990)
Dexy's Midnight Runners - Too Rye Ay
Dire Straits - Lover Over Gold (the only DS album I really like)
Echo & The Bunnymen - Ocean Rain
Einstürzende Neubauten - Halber Mensch
The Eurythmics - Sweet Dreams Are Made of This
Aretha Franklin - Who's Zoomin' Who?
Peter Gabriel - Peter Gabriel (1980), Peter Gabriel (1982), So
Marvin Gaye - Midnight Love
Heaven 17 - Penthouse & Pavement, The Luxury Gap
Hüsker Dü - Zen Arcade
Joe Jackson - Night and Day
Joy Division - Closer
Kraftwerk - Computerwelt
Living Color - Vivid
Madness - Complete Madness
New Order - Substance
Randy Newman - Trouble in Paradise
The Pixies - Doolittle
The Police - Synchronicity
Prefab Sprout - Steve McQueen, From Langley Park to Memphis (in the 80s Paddy McAloon was one of the world's best best pop songwriters)
Pretenders - Pretenders
Prince - Purple Rain, Around the World in A Day, Parade, Sign o' the Times, LoveSexy
Public Enemy - It Takes a Nation of Millions to Hold Us Back
R.E.M. - Document
Lou Reed - New York
Robbie Robertson - Robbie Robertson
Roxy Music - Avalon
Sade - Diamond Life
Scritti Politti - Cupid & Psyche 85
The Smiths - Strangeways Here We Come
Sonic Youth - Daydream Nation
The Style Council - Café Bleu, Our Favorite Shop
Bruce Springsteen - Live/1975-85
Sting - The Dream of the Blue Turtles
David Sylvian - Gone to Earth, Secrets of the Beehive
Talk Talk - Spirit of Eden (probably the most surprising album of the 80s, a timeless masterpiece no one would have expected from this band)
Talking Heads- Remain in Light, Speaking in Tongues, Stop Making Sense, Naked
Tears For Fears -The Hurting
The The - Soul Mining
Tom Waits - Rain Dogs
The Waterboys - This is the Sea
Stevie Wonder - Original Musiquarium I (original release: 1982; technically it's not a regular 80s release as it contains almost only 70s music, but it's one of the best Best of albums ever released and will forever be among most favorite albums I bought in the 80s)
U2 - The Unforgettable Fire (still my favorite U2 album), The Joshua Tree
Neil Young - Freedom (the album where he finally got back on track; lots of the greatest 60s/70s artists struggled in the 80s: The Stones, Dylan, Young, Joni Mitchell,...)
XTC - Skylarking
