"Down, Down, Down" from Swordfishtrombones -> 地獄に落ちた男の歌 - (Song of a Man Who Fell to Hell)
Fake Russian: It would seem the Russian Dance song from The Black Rider musical wouldn't be worth mentioning as this (especially since Waits almost correctly utters the "one-two-three-four" in Russian there). But the thing is, Waits really doesn't like Russia and repeatedly rejected gig offers from the country, despite a massive following among Russian intellectuals; what's more, the song has been used as one of the themes for the dark and absurd movie about Russian backwater, The Truce (also despite the song not being anything like Russian in its musical style, but rather Gypsy/Balkan).
No Hit Wonder: Waits is notable for performing for over 4 decades and through three label changes, but without a single #1 hit on the charts. Even Rod Stewart's cover of "Downtown Train" from Rain Dogs only got to #3. It's not surprising that he has a cult following, though.