...and My Morning Jacket is a far superior band. They were actually the band that I was going to add to this thread.

I'd also add:
The Decemberists
Los Lobos
Old 97's
The Hold Steady
The Avett Brothers

Also, while not a huge fan, I'd add Dave Matthews Band. No other band sounds like they do.

Winner!

Captain Beefheart and the Magic Band

OK, let's put this to rest...

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Game over.

No one sounds more unique or distinct than King's X. No one.

(There may be bands that are arguably AS unique or distinctive as KX, but no one has a MORE distinctive or unique sound/style.)

I threw out Cake, now I'm going to toss in a little Rusted Root.

Rammstein, at least in America. They may be a dime a dozen in Germany.

Cake is one of the best answers, though.

sublime and tool.

you mean kmfdm?

Nope. I'm positive I meant Rammstein.

But KMFDM would be another one that would work.

KMFDM before or after "reformation"?

Huge fan and I wholeheartedly agree.
Never seen That video for "King" before.

Mars Volta
RHCP
Tool
Robyn.