The Bangles "Manic Monday"

Prince originally wrote "Manic Monday" for Apollonia 6 -- a female trio that Prince put together in the 1980s.  The song later went to The Bangles.  According to Wikipedia, Prince offered the song to The Bangles' Susanna Hoffs in hopes that she would sleep with him.  Ironically, "Manic Monday" peaked at #2 -- it was blocked from the #2 spot by "Kiss" from Prince & The Revolution.  Karma?

Expose - "Come Go With Me"

How often does the entire lineup of a band turn over and success follows?  It happened with Expose in 1986.  The original three members of the trio exited the band and were replaced with three new members who re-recorded the vocals of "Point of No Return" and "Exposed to Love" (hits for the band in 1985).  Their debut album also produced a third single, "Come Go With Me", which became a Top 10 hit in 1987.