Car Brands Models in Songs

Crocodile Rock, Elton John and Bernie Taupin — “…dreaming of my Chevy…”

Vernon Green & the Medallions, of “pompitus of love” fame, recorded “Buick '59,” “Coupe de Ville Baby,” and “'59 Volvo.”

Elvis Costello: “My neighbor’s revving up his Vauxhall Viva” (The Beat)

Mothers of Invention: “Just have your fun, you old son-of-a-gun, and drive home in your Lincoln.” (Bow-Tie Daddy)
“And I crashed in my Nash/We can crash in my Nash” (The Air)
“Primer mi carucha, Chevy '39, going to El Monte Legion Stadium” (Dog Breath)

Sammy Hagar - Trans Am

Hmm… Most that I immediately thought of are already here.

Carrie had suggested we go for a ride in her new two door BMW coop. -Poe-

eleven long-haired friends of Jesus in a chartreusse microbus (VW) -Convoy-

Little Honda -Beach Boys- (I know, not technically a car. Honorable mention?)

Cadillac -Johnny Cash, One Piece at a Time-

Lets Get This Party Started by Pink mentions Mercedes.

Check out this box from Rhino, practically every track mentions a car (or truck) make or model.
Omitting ones previously listed, unless incorrect:

“Hotrod Gang” - '49 Merc
“See the U.S.A. in your Chevrolet”
“Mr. Highway Man (Cadillac Daddy)”
“Hey Little Cobra”
“Ride On Josephine” - Hot Rod Ford with Thunderbird wings
“Rocket ‘88’”
“Cadillac Assembly Line”
“I Want a Lavender Cadillac”
“Bring My Cadillac Back”
“I Gotta New Car” - Cadillac
“Dear Dad” - Ford & Cadillac
“Little Forty Ford”
“'41 Ford”
“'64 Ford”
“Go Li’l Camero Go”
“Road Runner”
“Black & White Thunderbird”
“Pink Thunderbird”
“'54 Corvette”
“Sting Ray”
“Hopped-Up-Mustang”
“Wild, Wild Mustang”
"V-8 Ford Blues
“Pontiac Blues”
“Go Go G.T.O.”
“Bite Bite Barracuda”
“Ford V-8”
“Six Days on the Road” - Jimmy & White

"When You Close Your Eyes" - Night Ranger
*
We learned about love
In the back of a Chevrolet
Well, it felt so good to be young
Feels like yesterday
*

White Zombie - Black Sunshine (intro voiced by Iggy Pop):

“gripping the wheel his knuckles went white with desire
The wheels of his Mustang exploding on the highway like a slug from a .45
True death: 400 horsepower of maximum performance piercing the night
This is black sunshine.”

“I bult a fire in the back seat of an old Tucker” I Pulled on Trouble’s Braids Tom Waits. (Come on, you know that if there was a song which mentioned one, I’d know about it. :D)

On his Pros and Cons of Hitchhiking album Roger Waters mentions a green Lamborghini.

In Winners and Losers Iggy Pop sings about a Mercedes.

Keeping The Faith by Billy Joel

“I thought I was the Duke of Earl
When I made it with a red-haired girl in the Chevrolet.”

I believe Teena Marie had “Mercedes Boy”.

Rover was killed by a Pontiac,
And it was done with such grace and artistry
That the witnesses awarded the driver
Both ears and the tail.

-Tom Lehrer, In Old Mexico

Thought of one more.

Don Henley - The Boys of Summer

“Out on the road today I saw a Deadhead sticker on a Cadillac.”

Which reminds me of Billy Bragg’s “From a Vauxhall Velox”:

She said, Do these seats fold down
I said, If you pull that handle…

I’ll call your Red Cortina and raise you a Grey Cortina.

There was a superbowl commercial this year that had people singing about their Chevys (Chevies?)

I think that the only ones that haven’t been mentioned in the thread are:
“Save a horse, ride a cowboy” and “The Jet Set”

“The Cadillac, it pulled into the graveyard.”: Television, Marquee Moon

“My baby drove up in a brand new Cadillac”: The Clash, Barand New Cadillac

Eagles:

“It’s a girl, my lord, in a Flat bed Ford.”

“Ol’ 55”

Slick Black Cadillac – Quiet Riot

I’ll see your spanish groups and raise you an argentinian (alas, no song titles but ¿does the name of the group “Fabulosos Cadillacs” count? )