If one of their albums appears in the top 1001 list, surely they are under appreciated and should not have been just a One-Hit-Wonder...
They got all the attention they deserved. The lead crying, whiny vocal is so annoying that it was really tough to make it through this thing. It's melodrama, not music.
So let's just remember Dexys for "Come on Eileen" as one of the best, sing-at-the-top-of-your-lungs party and dance songs.