"Sweet Dreams (Are Made of This)" (Eurythmics)

If you were living and breathing in 1983, the image of a close-cropped Annie Lennox strolling through a field with her partner-in-crime Dave Stewart (along with random cattle) is burned into your brain.  As surreal as the video was/is for "Sweet Dreams (Are Made of This)," there was no denying the song was an instantly accessible hit—essentially it's one extended hook, built upon a Baroque synth line and the heartbeat-like thump of Stewart's rare Movement MCS Percussion Computer (which is the Commodore 64-looking thing he's typing away on in the video).
As Lennox told the New York Times in 2007, the song came about after she and ex-boyfriend Stewart had an epic argument.  (Yeah, amazingly, they wrote and made music together for more than a decade after calling their relationship quits.)  Lennox felt that their creative partnership was about to dissolve, and she was extremely depressed.  Nevertheless, they began work on the song in earnest, and as the pieces fell together—Stewart creating the rhythm track, and Lennox crafting the synth line and the lyrics—they realized they had turned a corner and were creating something quite good.
That's not to say everything was sunshine and roses.  Lennox's words still have the sting of bitterness and sarcasm of a woman scorned.  The gist is that everyone is searching for something in life, and, along the way, you're going to encounter people who aren't necessarily acting in your best interest.  Even on the more upbeat Hold your head up! / Movin' on / Keep your head up! / Movin' on bridge section of the song, her breathless delivery defies that the wounds are still fresh.
No doubt it's Lennox's sense of pain, wry wit, and resolve in her smoky, soulful delivery that makes this bit of electro-pop remain evergreen.