Here's one to start off the topic ...
One Piece at a Time – Johhny Cash
Well I left Kentucky back in ’49 and went to Detroit working on an assembly line.
The first year they had me putting wheels on Cadillacs.
Every day I’d watch them beauties roll by, and sometimes I’d hang my head and cry
‘Cause I always wanted me one that was long and black.
One day I devised myself a plan that should be the envy of most any man,
I’d sneak it out of there in a lunch-box in my hand.
Now getting caught meant getting fired, but I figgered I’d have it all by the time I retired.
I’d have me a car worth at least a hundred grand.
I’d get it one piece at a time, and it wouldn’t cost me a dime.
You’ll know it’s me when I come through your town.
I’m gonna ride around in style, I’m gonna drive everybody wild.
‘Cause I’ll have the only one there is around.
So the very next day when I punched in with my big lunch-box and with help from my friend,
I left that day with a lunch-box full of gears.
I’ve never considered myself a thief but GM wouldn’t miss just one little piece,
Especially if I strung it out over several years.
The first day I got me a fuel pump and the next day I got me an engine and a trunk,
Then I got me a transmission and all the chrome.
The little things I could get in my big lunch-box like nuts and bolts and all four shocks,
But the big stuff we snuck out in my buddies mo-beel home.
Now up to now my plan went alright, ‘til we tried to put it all together one night,
And that’s when we noticed that something was definitely wrong.
The trans-a-mission was a ’53, and the motor turned out to be a ’73
And when we tried to put in the bolts, all the holes were gone.
So we drilled it out so that it would fit, and with a little bit of help from an a-dapter kit,
We had that engine running just like a song.
Now the headlights was another sight, we had two on the left and one on the right.
But when we pulled out the switch, all three of ‘em came on.
The back-end looked kinda funny too, but we put it together and when we got through,
That’s when we noticed we only had one tail-fin.
About that time my wife walked out, and I could see in her eyes that she had her doubts,
But she opened the door and said, “Honey, take me for a spin”.
So we drove uptown just to get the tags, and I headed right on down the main drag,
I could hear everbody laughing for blocks around.
But up there at the courthouse, they didn’t laugh ‘cause to type it up, it took the whole staff,
And when they got through the title weighed 60 pounds.
I got it one piece at a time, and it didn’t cost me a dime.
You’ll know it’s me when I come through your town.
I’m gonna ride around in style, I’m gonna drive everybody wild.
‘Cause I’ll have the only one there is around.
Uh … yeah Red Rider this is the Cotton Mouth in the Psycho-Billie Cadillac …
Negatory on the cost of this mo-sheen there Red Rider …
You might say I went right up to the factory and picked it up, it’s cheaper that way …
What model is it? … well it’s a
’49, ’50, ’51, ’52, ’53, ’54, ’55, ’56, ’57, ’58, ’59 automobile ….
It’s a ’60, ’61, ’62, ’63, ’64, ’65, ’66, ’67, ‘68’, ’69, ’70 automobile …
"Cadillac Ranch" by Bruce Springsteen.
"Fast Car" - Tracy Chapman
"Life In the Fast Lane" - The Eagles
One very obvious one:
"Here in my car
I feel the safest of all
I can lock up my doors
It's the only way to live
In cars."
"Cars" - Gary Numan and His Tubeway Army.
Sorry, Benn... "Cadillac Ranch" isn't about cars. It's about a brothel.
Richie Valens: La Bamba
Prince: Little Red Corvette
Paul McCartney: Back Seat of My Car
Beatles: Drive my Car
Jimi: Crosstown Traffic
Brian May: Driven by You (not actually ABOUT cars, but used in a car commercial
THe Cars (duh!): Drive
Sorry, Scott, I've got the lyrics in front of me. Even if it were about a brothel (and it isn't), the lyrics mention Eldorados, Mercury '49, Trans-Am. Actually, the Cadillac Ranch is in the panhandle of Texas. Some oil-millionaire has old caddies buried upright in his yard, I believe it is. The lyric booklet even shows a picture of it. It's labelled "Cadillac Ranch by Ant Farm (Lords, Marquez and Michels) 1974 Amarillo, Texas".
Other songs:
"Hot Rod Lincoln" - Commander Cody and His Lost Airmen
"Beep Beep" - The Playmates
"Stuck In My Car" - The Go-Go's
Just getting picky, goog, but "Back Seat of My Car" is properly credited as "Paul and Linda McCartney".
Oops! My bad.
"Mustang Sally" - Buddy Guy
"Little GTO" - ??? I know it wasn't the Beach Boys
Does "Thunder Road" by Robert Mitchum, from the movie of the same name, count? I know Steve Earle's "Copperhead Road" doesn't....
The two ulimate car songs, IMHO, have already been mentioned. "Cars" & "Hotrod Lincoln".
"Bad, Bad Leroy Brown" has a custom Continental and an El Dorado, too. At least he did until he messed around with the wife of a jealous man.
Benn: picky, picky, picky! (But I should expect that here, afterall.) :-)
Can't forget "I'm in Love With My Car" by Queen. Freddie Mercury takes a break on this one and drummer Roger Taylor takes over on vocals.
"Told my girl I'd have to forget her,
Rather buy me a new carbouretor,
So she made tracks, saying this is the end now,
Cars don't talk back, they're just four-wheeled friends now..."
Mabelline, why caintcha be true?
Oh Mabelline, why caintcha be true?
You done started back doin' the things you used to do.
... and that's it for the "love interest" in this song. All the other words deal with cars and driving.
Thought of "I'm In Love With My Car" and "Maybellene".
What about Eddie Rabbit's "Driving My Life Away"? Then there's "Faster" by George Harrison and "Helen Wheels" by Paul McCartney & Wings. "MGB-GT" - Peter Tork.
Oh god yeah! "Oh Lord, won't you buy me/A Mercedes Benz?/My friends all drive Porches/I must make amends." Definitely gotta mention Miss Janis Joplin!
Another Chuck Berry song about cars is "No Money Down".
Ronnie and the Daytonas is the act that did "G.T.O."
Well, goog, I did say I was being picky. 
"Fuel" by Metallica?
Give me fuel, give me fire. Give me that which I desire!
uh...sorry BF...thats "gimme fuel, gimme fire, gimme double genocide!"
Can't believe nobody thought this one; "Car Wash" by Rose Royce. And how about Harry Chapin's "Taxi" and its sequel, "Sequel"? Then there's "Guitar and Cadillac" by Dwight Yoakum, is it? "Mercury Blues" by The Steve Miller Band. And one more, "Rev. Jack and His Roamin' Cadillac Church" by Timbuk3.
No Particular Place to Go - Chuck Berry
(Okay ... this one is more about driving than cars, except for the safety belt verse)
Classified - C.W. McCall
... song about buying a used truck from a classified ad.
(for those scratching their heads saying "I know that guy, but from what song?" ... he sang "Wolf Creek Pass" and "Convoy")
Thought of "Convoy", myself.
I'm surprised that nobody mentioned that I misspelled "Porsches", when I quoted Joplin's "Mercedes Benz".
"Trans Am (Highway Wonderland)" by the Red Rocker, Sammy Hagar, is a song that belongs on this list.
"Old '55"- Tom Waits
"Riding in My Car"- NRBQ
"Automobile"- John Prine
"Long White Cadillac"- The Blasters
"Rambling Man"
"Chevy Van" - Sammy Johns
"Red Barchetta"- Rush
"Panama"- Van Halen
"Double Genocide"?! Geez, I'm getting to where I can't understand the lyrics to heavy metal on the radio anymore! 
That's it. Pass the Lawrence Welk albums and the Geritol!
Well, at any rate, they showed drag racing in the video. 
"Making Thunderbirds" by Bob Segar and The Silver Bullet Band.
I named one Sammy Hagar song and nobody else thinks of "I Can't Drive 55"? What's the world comin' to?
Add to the list, "Sausolito Summernite" by Diesel (what an appropriate name!)
"We left for 'Frisco in your Rambler,
The radiator runnin' dry.
I've never been myself a gambler
And had a preference to fly.
"You said forget about the airline.
Let's take the car and save the fare.
We blew a gasket on the brakeline
And eighty dollars on repairs.
All aboard (Sausolito summernite)
All aboard (Sausolito summernite)
A hundred miles away from 'Frisco
Two hundred gallons from L.A.
The engine's jumpin' like a disco.
We oughtta dump her in the Bay.
Wasting all my checks.
Scraping out my bank.
Spend it on Rambler
With a whirlpool in the tank.
What's out over here?
What's out over there?
Can't afford a blowout
'Cos we haven't got a spare."
There's also "Stop Draggin' My Car Around" by "Weird Al" Yankovic and "Somebody Stole My Car" by The Kinks.
The video that became a car commercial: Sting's "Desert Rose," in which he is riding in a Jaguar XJ6. Ford used footage from the video in a commercial for the car. The song features a mesmerizing vocal in Arabic by Cheb Mami.
"Autophilia" by the Bluetones - it has a lot of innuendo in it... or something...
I'd mention "Barracuda" from Heart cuz there's a car by that name but of course the song isn't about that so I won't mention it. *S*
As for Joplin's, the way she sings "Mercedes Benz" (and don't get me wrong; it's one of my favorite songs of hers) it sounds like she says "I must make ay-may-unds", but then she was a Tay-uk-sen.
Ahem. And what's wrong with that?
Almost forgot to mention another new wave classic that should fit this catagory; "Autobahn" by Kraftwerk.
Ooooh! Kraftwerk! Haven't heard anything by them in a couple of years. Are they still together?
I didn't mention "I Can't Drive 55" because I was waiting to see how long it would be before someone else did. The song was just two darn popular during its day, and considered a classic, to not get mentioned!
Runnin' Down a Dream - Tom Petty and the Heartbreakers
This one doesn't name a car, but it IS a song about driving ...
Whoops! I put a car song on the other "Name songs about..." board.
Heavy Metal (Taking a Ride) -- Don Felder.
For those who never saw the movie. This was the music for the undead on the B-17 portion.
"Bucket T" - The Who
"Car Song" - Woody Guthrie
"Then Came the Last Days of May" - Blue Oyster Cult ("Three good buddies were laughin' and smokin' in the back of a rented Ford.")
"Paradise By the Dashboard Light" - Meatloaf
One more: "Love In Common" ("You like Chevys and I like El Dorados"). Okay, it's not about cars. But it is by The Fabulous Thunderbirds.
Master of Sparks - ZZ Top.
I had a Master of Sparks bumper sticker specially made for my first car, a '73 Ford Grand Torino.
"Mercury Blues"-Alan Jackson
Check my post of Friday June 8th, 2001 8:03 a.m. I listed "Mercury Blues" under an act that had previously recorded it - The Steve Miller Band.
Don't forget Blondie's fabulous song "T-Birds" on the wonderful "Autoamerican" album.
The new 2002 Ford Thunderbird RULES!
And finally a song about a different type of car:
John Shuttleworth - "Austin Ambassador Y-Reg"
Actually, "Fuel" is "Gimme that which I desire!" I checked a Metallica lyrics page. (Something I should get hazard pay for.)
Anyways, what about...
Tom Cochrane-"Life is a Highway"
Roxette-"Joyride"
The Presidents of the USA-"Mach 5"
Cake-"The Distance"
Rob Zombie-"Dragula"
Billy Ocean-"Get out of my Dreams, Get Into my Car"
Cake (also from "Fashion Nugget") ... "Stickshifts and Safety Belts" AND "Race Car Ya-Yas"
and STILL nobody mentions the ULTIMATE driving song- "Highway Star" by Deep Purple!
"Nobody's gonna steal my car,
I'm gonna race it to the ground.
Nobody's gonna steal my car,
It's gonna break the speed of sounds"
"Baby Driver" by Kiss
"Jump In My Car" by the Ted Mulry Gang (for all us Aussies)
"Pink Cadillac"- Aretha Franklin
"Little Red Corvette"- Punce- oops- Prince.
"Baby, You Can Drive My Car" -- The Beatles
"Driving in my car" - Madness
"Harvey and Sheila" -- Allen Sherman
...She shopped at A&P, he bought a used MG...
...Traded their used MG for a new XKE...
"Tonight is the Night I Fell Asleep at the Wheel" --the Barenaked Ladies
"Fast Car" --Tracy Chapman
"Driving Away from Home" -It’s Immaterial,
Drive by The Cars...that has to fit in here somewhere. :^)