The band that sang "Come" in the 1980s is called The Band. They were known for their blend of rock, folk, and blues, and "Come" is one of their notable tracks from that era. If you meant a different song or band, please provide more details!
Queen
Howard Jones in the 80's Haddaway in the early 90's Two different songs
well, they weren't really punk, more new wave, but are you thinking of Altered States?
Matt Bianco
He was in the band WHAM! in the 80s.
Queen
The name of the song is History, sang by Mai Tai. Sounds like an 80s song but it was actually made in 92.
PARADOX from their 1989 album; singer was sylvain cossette
Bad Company
Positive force
Howard Jones in the 80's Haddaway in the early 90's Two different songs
Steelheart
Glass
positive force
Femi Kuntessi
positive force
Animotion?