Fefe Dobson - in the Deon Ferrus/Tasmin Archer class of African-American women who were basically given one hit then ignored by radio.
Technically a two hit wonder. Nobody plays either of them anymore.
Big Yellow Taxi by the Counting Crows, anyone?
(I know they're not Canadian, but this song counted towards the 35% Can-Con rule.)
I wouldn't mind hearing some Glass Tiger, Tragically Hip, or Blue Rodeo.