“Your Cash Ain’t Nothin’ but Trash” by the Clovers, later covered by others.
Cash (Money) Prince Charles & The City Beat Band
The chorus is the singer listing denominations of money!
“Free Money” by Patti Smith
“Money Money” by the Grateful Dead
“The Moneygoround” by the Kinks
“Pretty Green” by the Jam
Wonderstuff - It’s your money I’m after, baby!
Wonderstuff - Give, Give, Give Me More, More, More
Kate Bush - There goes a Tenner
Awesome!
I must confess that this is far more than I would have come up on my own with Google. At least in a reasonable period of time.
Thanks guys, gals, & miscellaneous!
I’ve got what I need now, but feel free to carry on.
Oooh, $10 bill by Cop Shoot Cop. Awesome tune.
Gimme Some Money - Spinal Tap
More early **AC/DC **songs about being skint-o:
http://www.youtube.com/watch?v=X16RuZgIA2o - Ain’t No Fun (Waiting Round to be a Millionaire)
http://www.youtube.com/watch?v=XvwSaJUtzeU&feature=related - Down Payment Blues
“Alimony” by Ry Cooder.
If I had a million dollars, by The Barenaked Ladies
I Will Buy You a New Life, by Everclear
Opportunities (Let’s Make Lots Of Money), by the Pet Shop Boys
I would argue with cochrane, Why don’t you do right? is the complaint of a woman whose man will not (can not?) support her in the fashion she wants. The implicit threat is that she’s going to leave him and find another man with more money.
“If I had a million dollars” - Barenaked Ladies
If you really want to be pedantic, the official title is “If I had $1000000” which looks far far worse. At least have commas to let people easily see what number that is, right?
edit: of course I spend too long verifying facts about the song and that no one else has posted it yet, and someone posts it as I’m doing that.
Gold Digger - Kanye West
Mo Money Mo Problems - The Notorious BIG
C.R.E.A.M. (Cash Rules Everything Around Me) - Wu Tang Clan
Suited N Booted - Snoop Dogg (mostly pimp shit…some’in you wouldn’t know)
Got Your Money - Old Dirty Bastard
The Big Money - Rush
Show Me The Money - Petey Pablo
With Plenty Of Money And You - Tony Bennett
Money Talks - AC/DC
(Money Can’t) Buy me Love-The Beatles
I can’t believe no one has mentioned Money, Money, Money by ABBA.
Money money money
must be funny
In the rich man’s world
1040 Blues - Robert Cray
90 Days Same As cash - Midnight Star
Addicted To A Dollar - Doug Stone
Ain’t Got No Money - Bob Seger
Ain’t No Fun - AC/DC
Ain’t No Money - Rosanne Cash
Always be True To You In My Fashion - Blossom Dearie
Another Day Another Dollar - Alison Krauss
Baby You’re A Rich man - beatles
Ballad Of Forty Dollars - Johnny Cash
Bankrobber - Clash
Best Things In Life Are free - luther Vandross
Big Money - Rush
Billion Dollar Babies - Alice Cooper
Bitch Better Have My Money - AMG
Black Money - Vinnie James
Blue Money - Van Morrison
Brother Can You Spare A Dime - Odetta
Burn Your Money - Mojo Nixon
Bus Fare Home - Spaniels
Busted - Ray Charles
Buy Me A Million Dollars - Love Tractor
Buying My Way Into Heaven - Sammy Hagar
Can I Have My Money Back - Gerry Rafferty
Can’t Buy Me Love - Beatles
Cash For Your Trash - Ain’t Misbehavin’ cast recording
Check’s In The Mail - Victory
Cold Hard Cash - Greg Kihn
Assuming this wasn’t a whoosh, Abba was listed in the OP. 
This looks very much like a cut & paste from elsewhere. Is there another site with the rest of this list?
“Did You Steal My Money” by The Who.
“The Money Song” from Avenue Q.