Again, forgive if any are repeats (or, for that matter, has multiple hits in your corner of the world).
Martika -
"Toy Soldiers"
Luscious Jackson -
"Naked Eye"
Sly Fox -
"Let's Go All The Way"
Snow -
"Informer"
Laid Back -
"White Horse"
Boomtown Rats -
"I Don't Like Mondays"
David & David -
"Welcome to the Boomtown"
Jamiroquoi -
"Virtual Insanity"
Wall of Voodoo -
"Mexican Radio"
Rockwell -
"Somebody's Watching Me"
The Vapors -
"Turning Japanese"
Real Life -
"Send Me An Angel"
Benny Mardones -
"Into the Night"
Moving Pictures -
"What About Me"
Sniff 'N' The Tears -
"Driver's Seat"
Nick Gilder -
"Hot Child in the City"
Yello -
"Oh, Yeah"
Eurogliders -
"Heaven (Must Be There)"
Peter Schilling -
"Major Tom (Coming Home)"
Shakespeare's Sister -
"Stay"
Timbuk 3 -
"The Future's So Bright (I Gotta Wear Shades)"
Sheila E. -
"The Glamorous Life"
Boys Don't Cry -
"I Wanna Be A Cowboy"
Baltimora -
"Tarzanboy"
Charilie Dore -
"Pilot of the Airwaves"
Gerardo -
"Rico Suave"
Taco -
"Puttin' On The Ritz"
Everything But The Girl -
"Missing"
The Tubes -
"She's A Beauty" (Okay, they had several "songs of note" that people remember, but this was really the only that qualifies as a "hit".)
Randy Newman -
"Short People" (As prolific a movie composer as he is, I'm pretty sure that was his only big radio hit.)
Icehouse -
"Crazy"
My brain is dripping out of my head...I'll try and come up with more later. (Disclaimer: Again, this is a US-centric and perhaps even regional list. These artists may have had different success in your part of the world.)