So many new quizzes, I figured I'd join in.  All the answers here (either the band or the song) have the word "Stone" in their name.  Limit none.

1.  RockandRollFan You've been awful careful 'bout the friends you choose
The Monkees - (I'm Not Your) Steppin' Stone

2.  JimA We get these pills to swallow
Queens of the Stone Age - No One Knows

3.  Indy I'd be so successful, I'd scare Wall Street to death
Stylistics - I'm Stone in Love with You

4.  Indy Spent most of his time chasin' women and drinkin'
Temptations - Papa Was a Rolling Stone

5.  Rice And I'm playin' on my slide trombone
Queen - Stone Cold Crazy

6.  RockandRollFan In the heat with a blue jean girl
Journey - Stone in Love

7.  Rice We got a genuine Indian guru
Dr. Hook - Cover of the Rolling Stone

8.  Don Where hustle's the name of the game
Glen Campbell - Rhinestone Cowboy

9.  Zella But you can't stay, 'cause you been somewhere else
Sly and the Family Stone - Family Affair

10.  Goreripper Now I get up around whenever
Guns n' Roses - Mr. Brownstone

11.  Indy The way she does just what she's told
Rolling Stones - Under My Thumb

12.  NewRomantic Me and Billy standin' there with a silver half a crown
Van Morrison - And It Stoned Me

13.  Don Let's ride with the family down the street
Meet the Flintstones

14.  Mantis You'll see the look and you'll see the lies
Stone Temple Pilots - Vaseline

15.  NewRomantic My flaws are open season
Stone Sour - Bother

16.  maddog The Marquis de Sade never made no boots like these
Stone Roses - Fools Gold

17.  Goreripper But they don't realize they're the ones who's square
Jimi Hendrix - Stone Free

18.  Rice You said you'd never compromise
Bob Dylan - Like a Rolling Stone

#18.  "Like a Rolling Stone" -- Bob Dylan

:)

#5 "Stone Cold Crazy" -- Queen :)

#7 "The Cover of the Rolling Stone" -- Dr. Hook & the Medicine Show

This is the most obscure song I have ever encountered on these quizzes...lyrics below ;)

The Cover Of The Rolling Stone - Dr. Hook & The Medicine Show
(Shel Silverstein)

(Hey Ray, hey sugar, tell them who we are)

Well, we're big rock singers, we got golden fingers and we're loved everywhere we go (That sounds like us)
We sing about beauty and we sing about truth at ten thousand dollars a show (Right)
We take all kinds of pills, that give us all kind of thrills but the thrill we've never known
Is the thrill that'll get you when you get your picture on the cover of The Rolling Stone

Rolling Stone, wanna see my picture on the cover
Wanna buy five copies for my mother (Yeah!)
Wanna see my smilin' face, on the cover of The Rolling Stone

(That's a very very good idea)

I got a freaky old lady name o' Cocaine Kitty who embroiders on my jeans
I got my poor ol' grey haired daddy, drivin' my limousine
Now it's all designed to blow our minds but our minds won't really be blown
Like the blow that'll getcha when you get your picture on the cover of The Rolling Stone

Rolling Stone, wanna see my picture on the cover
Wanna buy five copies for my mother (Yeah!)
Wanna see my smilin' face, on the cover of The Rolling Stone

(Hey, I know how...)
(ROCK AND ROLL!)

(Aww, dats beautiful)

We got a lot of little teenage blue eyed groupies who'll do anything we say
We got a genuine Indian guru, who's teachin' us a better way
We got all the friends, that money can buy, so we'll never have to be alone
And we keep gettin' richer but we can't get our picture on the cover of The Rolling Stone

Rolling Stone, wanna see my picture on the cover
Wanna buy five copies for my mother (I want one!)
Wanna see my smilin' face, on the cover The Rolling Stone

On the cover of the
Rolling Stone, wanna see my picture on the cover (I don't know why we ain't on the cover, baby)
Gonna buy five copies for my mother (We're beautiful fellows)
Wanna see my smiling face (I ain't kidding ya)
On the cover of The Rolling Stone (Ah, we would make a beautiful cover)

(The first shot, right up front man, I can see it now)
(We would be on the front smilin' man)
(Aahhhhh beautiful)

Darn, that's my limit...unless I was wrong on something :)

#8 is "Rhinestone Cowboy" by Glen Campbell.
#13 is "Meet the Flintstones."

1. I'm Not Your Steppin' Stone  The Monkees-1966
6. Stone In Love Journey-1978

9. Family Affair -- Sly and the Family Stone

3. Stone In Love With You-The Stylistics
4. Papa Was A Rollin' Stone-The Temptations
11. Under My Thumb-The Rolling Stones

10. "Mr Brownstone" - Guns N Roses
17. "Stone Free" - Jimi Hendrix

2. Nobody Knows - Queens of the stone age

Bumped with hints.

Hello My Name is Kenny, my name is Mad Dog (Graham to my mother) and I'm a newbie.

Your heavy hint tells me that...

16. is "Fools Gold" by the Stone Roses

14. Stone Temple Pilots - "Vaseline"