France failed to qualify for the next edition after winning in 1984.
Denmark (1996), Germany (2000) and Greece (2008) failed to go through to the next round. Greece even finished their group stage with zero points! Denmark and Greece were considered Dark Horse Victory s at the time, but Germany went into Heroic B.S.O.D. and massively overhauled the youth system, which started to bear fruits some ten years later and is arguably what's responsible for the current "dynasty" and the Curb-Stomp Battle that was the 2014 world cup.