After giving you an obscure title or two, I thought I'd switch gears and post one of the most iconic synthpop songs ever recorded, and for that matter, a serious candidate for one of the most iconic 80's songs ever: "Just Can't Get Enough" by Depeche Mode.
To me, Depeche Mode epitomized the 80's New Wave/Synthpop scene. They not only largely popularized it, but they were also one of the more prolific artists operating within it, and were possibly the most idealized and imitated of all the successful New Wave artists operating through much of the mid to late 80s.
Of course, "Just Can't Get Enough" sounds very different from much of Depeche Mode's later output, and stands in contrast to songs like "Stripped", "Strangelove", "Enjoy the Silence" or even "People Are People." This is easy enough to explain by the fact that the main songwriting duties initially went to Vince Clark, who split with the rest of the band after the first hit album Speak and Spell was released, leaving Martin Gore to take over most of the songwriting task, and Gore simply had a very different style (despite obviously trying to imitate Clark's success on a few early tracks.)
I'll probably have more (much more, actually) to say about Depeche Mode as I post some of their other later songs as time goes on, but for now, enjoy "Just Can't Get Enough"--one of the songs that put New Romanticism, Synthpop, and of course Depeche Mode themselves on the map suddenly in 1981.