Sweet Jane

I like Do Make Say Think (I'm surprised no-one's mentioned them); and, of course, GYBE and Neil Young.

I don't know about Canadian bands that aren't known outside of Canada, obviously.

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Calvin: "Do you believe in the devil? You know, a supreme evil being dedicated to the temptation, corruption, and destruction of man?"

Hobbes: "I'm not sure that man needs the help."

Chumley

Charlee
Chilliwack
Crowbar
Five Man Electrical Band
Dillinger
The Hunt
April Wine
A Foot In Coldwater
Harmonium
Maneige
Sloche
Lighthouse
Frank Marino(Mahogany Rush)
Stampeders
Triumph
Warpig
Gordon Lightfoot
Joni Mitchell
Leonard Cohen

Stone Birds

i am certain the last two are popular outside of canada

a few americans really only know him for his remix of Sufjan Stevens' "You Are the Blood" (which is also a castanets cover) but here he is i like him (he's a white rapper ok with sounding white):



here's another band that's not bad:

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Burning Down

I know the drummer for Triumph, Gil Moore, because his daughter went to the summer camp that I used to work at.

Plus, not all of those artists are necessarily bad though, and a few of them were actually popular outside Canada.