Obviously there still is plenty of '80s material that isn't too great-sounding - if it was a small indie production, you typically notice. The good stuff can be brilliant though. Compiling a list (up to ca. the mid-'90s) sounds like a good idea.
I'll keep an eye on the Enya album. Otherwise it's hard to go wrong with Peter Gabriel or Laurie Anderson. I also like Alphaville's Forever Young, Miriam Makeba's Sangoma and (getting into the '90s) Mike Oldfield's Songs Of Distant Earth. Kate Bush's stuff generally is rather decent-sounding as well (with the notable exception of the Red Shoes). Siouxsie and the Banshees' Peepshow is pretty good, too.
In terms of CDs with some "'80s patina" (maybe a little thin and/or with a bit too much highs content) but otherwise rather good sound, I have a-ha's Hunting High And Low and Tanita Tikaram's Ancient Heart.
Let's see what I'll think of Jennifer Warnes' Famous Blue Raincoat, just ordered it.
EDIT: It's a bit of a mixed bag. While generally recorded well, some "'80s patina" is readily apparent, sometimes more, sometimes less (not that much deep bass in some tracks). Album gain is +3.57 dB, highest level about -3.46 dB. DDD.
I also got in Suzanne Vega's self-titled album from '85, that's quite nice-sounding. (ADD.) Fast forward to '92 with "99.9F°", and you find some use of a brickwall limiter (as well as analog compressor, I think) - it didn't have very much to do yet though. This album is quite advanced for its time anyway. Interestingly, it seems to be a completely analog production.
Still a bit heavy on the highs but quite dynamic is Introducing the Hardline According to Terence Trent D'Arby ('87). Pretty good overall.
None of the discs were balanced too well mechanically btw. One even made the drive spin down and still gave a good bit of noise at 8x speed.