Dexys' Midnight Runners

Dexys' Midnight Runners' main claim to fame will probably always be that they're the act that kept Michael Jackson from becoming the first artist since the Beatles to have back-to-back No. 1 hits on the Hot 100. Dexys' "Come On Eileen" snuck into the No. 1 spot for one week in April, 1983, in between the No. 1 posting of "Billie Jean" and "Beat It."