I agree the list is dubious, since almost of them are pretty well known. And Depeche Mode is a joke. I regularly see posters for Depeche Mode parties. DM might have devolved into pointlessness since Alan Wilder left and formed Recoil, but they're not an obscure band by any stretch of the imagination.
Also, I fundamentally disagree with the idea that the 80's was the arguably best decade for music (in the history of music, no less). It was unquestionably the worst (and by unquestionably, I mean that anyone who does question this doesn't know what they are talking about). Just in the rock and pop scene, the late 60's and early 70's were were better by an order of magnitude, with the birth of heavy metal, punk, electronic, prog, industrial, and pretty much everything else. The 80's watered all that down into commercialized garbage. True, Jasoni89's list contains some pretty great bands, but they're mostly from the indie scene (when indie meant indie, yay 4AD!), and exceptions to the rule. There was good music in the 80's, but it was a trickle rather and a vast river.
And all that's quite separate from the fact that this kind of statement completely ignores anything other than the pop/rock scene, which is still an upstart in 'the history of music'. What about classical? What about jazz?
Yeah, I'm being a music snob, but I don't care. The 80's were awful. End rant.