A number of my favs were already mentioned here -
"Safety Dance" Men without hats - although they did score another hit with "Pop goes the world." It's actually funny story.. not too many people outside native Canadians even knew who Men without hats were, but this one German guy staying at my friend's friend's house actually knew who they were.

And we proceeded to discuss the merit of the amazing music video... Now that I think about it, I should've discussed about David Hasselhoff as well while we were at it but I digress...
"How bizzare" OMC - I actually lived in New Zealand when they were popular there and the song became famous after I came to Canada. It was kinda funny to see them on the Regis morning show.
OMC - "Yeaah, NZ has only 3.5 million people." Regis and K.L. - (looks surprised) "whoa, really?"
I liked the song, it had that nice down-to-earth kinda chill'd atmosphere. Too bad they couldn't reproduce it.