German singer Peter Schilling is a classic example of a one hit wonder(internationally at least). His 1983 single "Major Tom(Coming Home)" was a major hit in various markets, including Canada and the US. Nothing else Schilling released had any international impact. But of course, being recorded in the album era, the song was part of an album, Error in the System. "I Have No Desire" was another song on the album, and it's quite catchy. The lyrics seem just as relevant in our era of 24 hour media saturation as they did in during the Cold War tensions of the early '80s.
The early and mid '80s were a good time to be a German group, with acts such as Trio, the Scorpions, Nena, and Alphaville making an international splash. You could also include American Tony Carey as well, as his albums, under his own name and as Planet P Project, were recorded in West Germany with mainly German musicians.