For that matter, Denis Leary’s “I’m an Asshole.”
Also: “Break stuff,” “Nookie” and “down with the sickness.”
I think anything off Any Winehouse’s album Back to Black would probably be verboten.
My first thought was “Eat Me Alive” by Judas Priest, containing lyrics like “I’m gonna force you at gunpoint, to eat me alive”.
That is why I put in the warning. I can’t help singing along whenever I hear it and sometimes without. I’ve got used to the funny looks, but I keep the CD handy in case there are too many questions.
SSG Schwartz
How could we have forgotten “Takin’ Retards To The Zoo” by the Dead Milkmen?
I still haven’t seen any NOFX such as Fun things to F**k (if you’re a winner) (link to lyrics)
Or just about anything by Insane Clown Posse such as Neden Game
Maybe I will try one of these at the next local audition. 
SSG Schwartz
I doubt they’d allow any Leonard Cohen, except maybe “Hallelujah”.
Somebody mentioned the Bloodhound Gang earlier. It would be funny to see one of the male contestants singing “The Bad Touch.” Or maybe “Inside of You” by Hoobastank. 
Bring In The Clowns
Tomorrow from Annie
Amazing Grace
Dammit, I should have thought of that.
“You’re breaking my heart
You’re tearing it apart
So FU-UCK you.”
I have it in vinyl.
Which is from “Pull My Strings”:
Is my cock big enough
Is my brain small enough
For you to make me a star?
Give me a toot and I’ll sell you my soul
Pull my strings and I’ll go far.
Drool, drool, drool, drool - MY PAYOLA!
“Baby got Back”
I would like to hear some Slayer, but…
Dennis Leary has already been mentioned.
From the school of the totally obvious - anything from Kevin Bloody Wilson would have to be out - with songs like “do you fuck on first dates” or Santa Claus you C*** where’s my f****** bike" it couldn’t show live - he is haliarously funny though.
I doubt it. “Muriel” is also lyrical enough that it would be possible. I don’t think either will ever be done though. I would pay money to see one of them do “Jockey full of Bourbon”.
Eric Idle’s FCC Song would never be performed.
I doubt My Cat by Jackoff Jill would get approved either.
What about Weird Al’s The Night Santa Went Crazy, or Won’t Eat Prunes Again.
Little Richard’s Good Golly Miss Molly?
Working Class Hero either the John Lennon or Marianne Faithfull version, or for that matter anything by Marianne Faithfull
“Volvo Driving Soccer Mom”, by Everclear.
Strokin’ -Clarence Carter
Listen to The Early Years Vol. 2. Any of these songs would be appropriate for a “low-key” song on AI>
Joe
(1) “Tiptoe Through the Tulips” by Tiny Tim
(2) “They’re Coming To Take Me Away, Ha Ha” by Napolean XIV
(3) “Ah Ah, Yawa Em Ekat Ot Gnimoc Er’yeht” by VIX naelopaN
(That’s “They’re Coming To take Me Away, Ha Ha” played backwards on the flip side of the original 45.)
(4) “Dead Babies” by Alice Cooper
I think the point of “Molasses to Rum” was not that slavery was just fine, but that the Northerners were enormous hypocrites to protest against people being bought and sold when they were profiting indirectly from those sales through the triangle trade.