Great lost lps...the 80s....synth pop and others..

Great calls re Close Lobsters, Kraftwerk "Computer World" and "Tin Drum"

Not really "lost" but some of my favourites include:

The Blue Nile - A Walk Across the Rooftops (1983)
New Order - Power, Corruption & Lies (1983) (in fact anything by New Order)
Buggles - The Age of Plastic (1980)
John Foxx -The Garden (1981)
Orchestral Manoeuvres in the Dark - Dazzle Ships (1983)
Orchestral Manoeuvres in the Dark - Architecture & Morality (1981)
The Associates - Sulk (1982)
Tears for Fears - The Hurting (1983)
The Human League - Dare! (1981)
Scritti Politti - Cupid & Psyche 85 (1985)

Not heard (vinyl is quite hard to find) but will one day:
Alain Bashung - Novice (1989)

Not 1980's but in the spirit and fantastic:
Junior Boys - Last Exit (2004)

Forgot:
Strawberry Switchblade - Strawberry Switchblade (1985)

Guadalcanal Diary:

- Walking in the Shadow of the Big Man (1984)
- Jamboree (1986)
- 2X4 (1987)
- Flip-Flop (1989)

The Housemartins:

- London 0 Hull 4 (1986)
- The People Who Grinned Themselves to Death (1987)

Sisters of Mercy (all the EPs...and the LPs)

Alphaville from Germany
And who can forget that great video from A-Ha of Norway?
Searching some of these bands has unearthed videos and live performances that are an absolute riot!

Icehouse - their debut album is a classic!
Shona Laing - South
I own many LP's or cd's of lesser-known Canadian bands like Chalk Circle, Bundock, The Box, 8 Seconds and Gowan, among others. All had some really good music from the '80's that you never heard or saw on MTV or US radio, for that matter.
Howard Jones
The Hooters - Nervous Night is a great album.
The Plimsouls had some great songs too.
Tony Carey's Planet P Project - Pink World is another one of my favorite albums. Depressing-as-hell cold war nuclear armageddon theme but one of the best concept albums from the '80's in my opinion and awesome fidelity. I own both the original gatefold LP and the German import CD.

Crowded House - not really a synth rock band but great music!