Great choice, as would be
Rent.
When I'm feeling wistful about the scores (I stopped counting at 60) of friends lost to HIV/AIDS,
Electric Dreams can still push out an involuntary tear.
The 80s were really divided into the earlier part (up until about '84) which was a difficult, recessionary time fraught with fear of Ronny Ray-Gun's finger on the button of Armageddon. This was followed by a nihilistic impulse to consume as conspicuously as possible, but always with a touch of regret and mourning and an overlay of irony. As such, there really can be no one definitive song for all of it.
Other good choices for the earlier phase might include:
VooDoo Economics
99 Red Balloons
Echo Beach
Send Me An Angel
Electricity
Never Say Never
...and, of course, the ultimate excessive gay sex song:
So Many Men, So Little Time :wink:
Later 80s were much more like these:
One Night In Bangkok
Been Around The Word
Only A Memory
Missing
Teardrops
Boy Blue
ETA: This post took so long that Ethyl and I had the same idea regarding Nena. Great minds post alike