Adam Ant: Antbox (Box Set)
Adam Ant: Essential
B-52's: Nude On The Moon Anthology (Box Set)
Bauhaus: Crackle (Best Of)
Belle Stars: Belle-Issima - Sweet Memories
Berlin: Best of Berlin 1979-1988
Big Country: Greatest 12 Inch Hits
Blondie: Greatest Hits
Bolshoi: A Way (Best Of)
Bow Wow Wow: Anthology (Best Of)
David Bowie: Best of Bowie
Bronski Beat & Jimmy Somerville: Essential
Buzzcocks: Singles Going Steady (Best Of)
Cabaret Voltaire: The Original Sound of Sheffield '78-82 (Best Of)
Captain Sensible: Collection (Best Of)
The Cars: The Complete Greatest Hits
Chameleons: The Return of the Roughnecks (Best Of)
Elvis Costello: The Very Best Of
Culture Club: The Best Of The Culture Club
The Cure: Greatest Hits
The Damned: Smash It Up (Best Of)
Dead Or Alive: Evolution - The Hits (Asian 2 CD)
Dead Or Alive: Evolution - The Hits (UK Release)
Devo: Anthology - Pioneers Who Got Scalped
Thomas Dolby: 12x12 Original Remixes
Duran Duran - The Singles 81-85 Box Set
Duran Duran - The Singles 86-95 Box Set
Duran Duran: Greatest (Best Of)
Duran Duran: Strange Behaviour (2 CD 12" Remix Collection)
Echo And The Bunnymen: Ballyhoo (Complete Singles)
The English Beat: Beat This (Best Of)
Erasure: Hits (Best Of)
Eurythmics: Boxed (8 CD Box Set)
Falco: Greatest Hits
Fine Young Cannibals: The Finest (Best Of)
The Fixx: Ultimate Collection
A Flock Of Seagulls: Best Of
Frankie Goes To Hollywood: Bang (Greatest Hits CD)
Peter Gabriel: Hit (Best Of)
Gene Loves Jezebel: Voodoo Dollies (Best Of)
General Public: Classic Masters (Best Of)
Heaven 17: Temptation - The Best of Heaven 17
The Human League: The Very Best Of
Billy Idol: Greatest Hits
INXS: The Years (1979-1997) (2CD + DVD)
Joe Jackson: Steppin' Out (Best Of)
Howard Jones: The Very Best Of
Joy Division: Permanent (Best Of)
Kajagoogoo: The Very Best Of
Nik Kershaw: Then and Now (Best Of)
Level 42: The Ultimate Collection
Modern English: Life In The Gladhouse (Best Of)
Morrissey: CD Singles '88-91(Box Set)
Morrissey: CD Singles '91-95 (Box Set)
Morrissey: The Best Of
New Order: Retro (4 CD Box Set)
Oingo Boingo: Anthology (Best Of)
Pet Shop Boys: Discography
Pet Shop Boys: Pop Art 2 (2 CD)
Pet Shop Boys: Pop Art 3 (3 CD European Edition)
The Police: Message In A Box (Box Set)
Pop Will Eat Itself: Anthology 1986-1994 (Best Of)
The Psychedelic Furs: Greatest Hits
R.E.M.: In Time (1988-2003) (Best Of)
R.E.M.: The Best Of R.E.M. (1982-1987)
Romeo Void: Warm In Your Coat (Best Of)
Siouxsie And The Banshees: Once Upon A Time (The Singles)
Siouxsie And The Banshees: Twice Upon A Time (The Singles)
The Smiths: The Very Best Of
Tears For Fears: Tears Roll Down (Greatest Hits: 82-92)
Thompson Twins: Greatest Hits

Other 80s Related Gift Items:
Info here.