Quoting:
Ashford & Simpson ("Solid")
Pepsi & Shirley ("Heartache")
Eurythmics (Annie Lennox & Dave Stewart)
Nu Shooz (John Smith & Valerie Day)

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Ashford & Simpson go back to the '60s as a songwriting team, but indeed it was "Solid" (1985) that made their name known to the public.
I used to see Pepsi of Pepsi & Shirley spelled "Pepsii."  Perhaps they received a friendly phone call from Pepsi Co.

As for '80s duos, let's not forget
NAKED EYES(Pete Byrne/Rob Fisher)
who had a hit with another duo's song, Burt Bacharach & Hal David's "Always Something There to Remind Me."  I preferred "When the Lights Go Out," "Promises Promises," and "In the Name of Love." Rob Fisher was later in another duo, with Simon Climie, as Climie Fisher.  I remember their song "Love Changes (Everything)"

There was also--
Salt & Pepa
Double (doo-blay)
Ebn Ozn
Yello
Haysi Fantayzee (basically a duo)
Q-Feel (duo, I think) "Dancing in Heaven (Oribital Be-Bop)"
Sparks (Predates the '80s, but still very '80s)

Somebody mentioned Erasure, but nobody mentioned
YAZOO
Vince Clarke & Alison Moyet.  Superb but so sadly short lived. :'(
In 1984, Vince Clarke released a single single with Feargal Sharkey as The Assembly, "Never Never."

Feargal Sharkey: Gaelic for "beware of carnivorous sea creatures."
:D

Quoting:

While I was certainly not a fan, what about:

Peaches & Herb

Bill S.

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Peaches and Herb were actually the 1970's. ;D


Howard

Quoting:


Peaches and Herb were actually the 1970's. ;D


Howard
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They did have a minor hit with "I Pledge My Love" which went to #19 in 1980.   :)

Quoting:
No one's mentioned...

Orchestral Manoeuvres In The Dark!

Technically the duo of Andy McCluskey and Paul Humphreys. They did have a backup band though.


I would have mentioned Yazoo, Maxwell, but you beat me to it. ;) :P ;D

Absolutely Vile
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I considered OMD because they started with the core duo of Humphreys & McCluskey, and H&M wrote most of the material.  However, percussionist Malcolm Holmes & sax player Martin Cooper were all their LPs from "Orchestral Manoeuvres" to "The Pacific Age."*  Like OMD, many "duos," such as Eurythmics and Tears for Fears, use session musicians and touring bands, but the integrity of Holmes & Cooper to OMD disqualifies them from duo-hood in my book!
Humphreys quit the band circa 1988, but McCluskey has persevered with his own lackluster version of OMD.
*Cooper doesn't appear on "Organisation," but Holmes does.

Tears For Fears
Why didn't I think of that before?

Here's another of my favorite '80s duos
Blancmange
Talk about using session musicians, Blancmange used over 20 session musicians on their final album, "Believe You Me"! (1985)
Another BIG favorite of mine is an obscure English duo called
Eyeless In Gaza
An excellent experimental pop duo of Martyn Bates & Peter Becker formed in 1980.  They're too diverse and exciting for me to try to describe succinctly, so I recommend you check out the link:
http://www.eyelessingaza.com/eigbio.html
E.I.G. may be a band you always wanted to hear!

I thought of KRAFTWERK, but there are two problems.  Kraftwerk did their best work in the '70s, though their influence on '80s music is almost incalculable.  While the core of Kraftwerk is Ralf Hutter and Florian Schneider, the band always consisted of Hutter, Schneider, and two or three others.  However, adjunct members such as Wolfgang Flur and Karl Bartos often felt like Kraftwerk was duo.  They felt Hutter & Schneider took all the credit and consigned them to be underpaid employees of Kling Klang Studios!

The Skuz wrote

Quoting:
Jimmy Somerville(Bronski Beat) and Marc Almond(Soft Cell) with a duet of "I Feel Love"
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I missed this one!  Was it a cover of Donna Summer & Giorgio Moroder's "I Feel Love"? That'd be cool!  What album is it on?

Quoting:


They did have a minor hit with "I Pledge My Love" which went to #19 in 1980.   :)

End Quote

I remember that song.  :)

Quoting:
In 1984, Vince Clarke released a single single with Feargal Sharkey as The Assembly, "Never Never."

Feargal Sharkey: Gaelic for "beware of carnivorous sea creatures."
:DEnd Quote

The Assembly were actually a foursome, comprising of Vince Clarke, Feargal Sharkey, Eric Radcliffe, and Dave "Clem" Clempson. :)

Another 80's duo was The Associates who consisted of Billy Mackenzie and Alan Rankine. Others that come to mind that I don't think have been mentioned are:

Bros (sort of)
The Communards
Boy Meets Girl
Go West
Jon & Vangelis
Kon Kan
Philip Oakey & Giorgio Moroder
Strawberry Switchblade
Renée & Renato

Absolutely Vile

Quoting:
Jimmy Somerville(Bronski Beat) and Marc Almond(Soft Cell) with a duet of "I Feel Love" and other disco songs.End Quote

"I Feel Love" is actually Bronski Beat and Marc Almond. It appears on the Bronski Beat album Age Of Consent. I don't know what these "other disco songs" you speak of are though...

Absolutely Vile

Quoting:


The Assembly were actually a foursome, comprising of Vince Clarke, Feargal Sharkey, Eric Radcliffe, and Dave "Clem" Clempson. :)End Quote

True per the credits on the single.  And if Clarke had proceeded with The Assembly, the other core member would have been Radcliffe.  The intention was a series of collaboration featuring Clarke, Radcliffe, and a guest vocalist.  I wish it had continued.  It would have been great to hear maybe Paul Young or Paul Weller for the next Assembly song.
I see two reasons why Clarke would have scrapped The Assembly.
1. Conceptually, the Assembly was limited to the studio
2. The project would be difficult to market because of the changing personnel.
3. They'd end up constantly wrangling with other people's record labels, other people's contracts, and other people's paperwork.
Erasure with Andy Bell sounded like a much better proposition, and it certainly turned out to be just that!

Quoting:
Another 80's duo was The Associates who consisted of Billy Mackenzie and Alan Rankine.
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Billy MacKenzie was great! He also worked with Coil, Holger Hiller, and Yello.
:D
End Quote

Quoting:
Others that come to mind that I don't think have been mentioned are:

Bros (sort of)
The Communards
Boy Meets Girl
Go West
Jon & Vangelis
Kon Kan
Philip Oakey & Giorgio Moroder
Strawberry Switchblade
Renée & Renato

Absolutely Vile
End Quote

Another good list, Ab-Vi!

Quoting:


They did have a minor hit with "I Pledge My Love" which went to #19 in 1980.   :)

End Quote

Wow,I don't remember them having that song! WOW! :o


Howard

Quoting:


Peaches and Herb were actually the 1970's. ;D


Howard
End Quote

As I recall, there have been several "Peaches" over the years, although "Herb" has been the same guy all along.

Quoting:


As I recall, there have been several "Peaches" over the years, although "Herb" has been the same guy all along.
End Quote

Why what happened to the original "Peaches"? ???


Howard

Quoting:
Yello

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Although primarily a duo Yello actually started as a trio with Carlos Peron. He has released several solo albums and is worth checking out!

Quoting:
Soft Cell ???


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Quoting:
I think Soft Cell was one guy.  How bout The The, lol what were they or it ;D

End Quote

No, Soft Cell was the duo of Marc Almond and Dave Ball. The The was originally a duo consisting of Matt Johnson and Keith Laws, but eventually just became Matt Johnson's solo project.

Absolutely Vile

Quoting:


Although primarily a duo Yello actually started as a trio with Carlos Peron. He has released several solo albums and is worth checking out!
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Oh yeah, Carlos Peron!  I didn't know he had solo records.  I'll look for them...
Early Yello is the best, '80-'85

Quoting:

Oh yeah, Carlos Peron!  I didn't know he had solo records.  I'll look for them...
Early Yello is the best, '80-'85
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http://www.carlosperon.de/
This is Carlos Peron's official homepage if you are interested in finding out more about his solo work!