Does Used to Love Her count?
“I used to love her, but I had to kill her
I had to put her
Six feet under
And I can still hear her complain”
“I’ll Regret It All in the Morning” by Richard Thompson (certainly not the only one by him)
“You Can Leave Your Hat On” by Randy Newman
Diana Ross - “Upside Down” -
“Respectfully I say to thee
I’m aware that you’re cheatin’
When no one makes me feel like you do
…
I know you got charm and appeal
You always play the field
I’m crazy to think you’re all mine
As long as the sun continues to shine
There’s a place in my heart for you
That’s the bottomline”
Hmm, sounds like you got a winner there.
Benny Mardones - “Into the Night” -
"She’s just sixteen years old
Leave her alone, they say,
Separated by fools
Who don’t know what love is yet
But i want you to know
If i could fly
I’d pick you up
I’d take you into the night
And show you a love
Like you’ve never seen - ever seen"
Uh, she has never seen a love like that because SHE’S JUST 16 YEARS OLD, FOOL!
The Offspring - “Self-Esteem” - well, the whole song. At least the narrator in this song knows he’s an idiot.
Another 70’s song that seemed great at the time (when I was listening to it as a youth), but sounds icky now - “Sharing the Night Together” by Dr. Hook. Now when I hear this song, all I can think of is one of these guys sidling up to me in a bar. {shudder}
I Love it When You Call Me Names by Joan Armatrading
“I can’t wait to see you again
I know you’re gonna slap my face
You beat me up then beat me again…
And he loves it when she beats his brains out…”
Possum Kingdom by The Toadies
“I can promise you,
You’ll stay as beautiful
With dark hair
and soft skin…forever…
Be my angel
Do you wanna die?”
It’s a little more subtle that most of what’s been mentioned here, but I always thought The Eagles Love Will Keep Us Alive was kind of creepy and unhealthy.
“Lost and lonely,
Now you’ve given me the will to survive”
“Now I’ve found you,
There’s no more emptiness inside”
It sort of sounds romantic, but would you really want a partner who’s mental health was so dependent on you that they would commit suicide if you weren’t there?
I also seriously question the sentiment of “when we’re hungry, love will keep us alive” - I’m sure you’d change your mind on that pretty quick after a few days on a desert island.
I can’t find the one that he walks into a dance studio and sings a song while all the dancers try to learn a tango dance…
Please link me to it!
Lovefool by the Cardigans with the lyrics:
I don’t care if you really care
as long as you don’t go
and
lead me
just say that you need me
I can’t care about anything but you
Two nominations, although technically the first could be disqualified since the singer explicitly states that he doesn’t love the subject of the song. 
**Meatloaf **with Two Out Of Three Ain’t Bad:
I want you
I need you
But-there ain’t no way I’m ever gonna love you
Now don’t be sad
'Cause two out of three ain’t bad
And **Dragon **with the charmingly named Are You Old Enough:
*Ten years in the gaoler’s eye
…
I just happened to kiss someone
…
You just happened to be standing there
So won’t you tell me
Won’t you tell me the truth
Are you old enough
…
Are you old enough for love*
Well, I posted without listening to the song. I listened to the song for the second time just a minute ago, and in context, sung, it seems like Mr. Bubbles is talking about oral sex or straight up sex. What with the whole “giving better than I get” euphemism. Who doesn’t want an enthusiastic sex partner?
What? No “Every Breath You Take” by The Police? I thought that was the theme song for stalkers!
'Cuz the OP specifically said she didn’t mean deliberately creepy or stalker songs.
Detachable Penis: Ode to a lost penis.
Pretty much all songs by Eminem. Right now I’m listening to Mockingbird, where he threatens to kill the mockingbird if it doesn’t sing, and shoot the jeweler who sold the ring that doesn’t shine.
Wyclef Jean’s Perfect Gentleman: Guy spends 40k on a stripper, making her cry tears of joy. They dream of riding off together on horseback.
Weird Al’s “A Complicated Song”: Redneck incest.
The original song that turned me on to comedy love songs: Silhouettes.
Nate Dogg and Warren G’s Regulate: After killing a bunch of thugs, Nate and Warren have an orgy with some girls they “rescue” after a car accident.
The original LaDiDaDi: After meeting his girlfriend, her mother arrives, beats the shit out of her, and suggests they have sex in the back of her van. The singer refuses, citing the excessive amount of wrinkles in her vagina.
The Korean National Anthem, Ariang: A woman hopes her lover breaks his leg for leaving her.
I would have to include the latest single, “Space Bound.” Every time he writes a love song (if you can call it that, what with all the threats of violence,) I just assume it’s about Kim, his ex-wife.
Also Bruno Mars’ “Grenade”:
Bad woman, madwoman, that’s just what you are
Yeah, you smile in my face and tear the brakes out my car
…
I would go through all this pain
Take a bullet straight through my brain
Yes, I would die for you, baby
But you won’t do the same
I think this guy needs to put a restraining order on his girlfriend and get some counseling ASAP.
I would rather go blind then to see you walk away from me.
Sick or what ?
Plus all of those songs where the singer has to get down on his knees and pray after just SEEING a pretty face.(He hasn’t even spoken to her)
Or a grown man bursts into tears just because he’s seen a pretty face.
Or the man who’s going to die (not commit suicide, just die) if he and his GF break up.
There appears to be a hell of a lot of mentally unstable people out there.
Is there a healthy idea about love?
(This is sorta like my response to the "Can a cat be retarded?"thread, but maybe a little more palatable. I mean, I often think "Can a cat NOT be retarded? just as I often wonder if love is just a catchall name for mental instability, but I think there are more cynics here than there are people who don’t like cats.)
I’ve always hated “Bobby’s Girl.”
What do you want to do with your life, young lady?
*When people ask of me,
“What would you like to be now that you’re not a kid anymore?”
I know just what to say,
I answer right away.
There’s just one thing I’ve been wishing for.
I wanna be Bobby’s girl,
I wanna be Bobby’s girl.
That’s the most important thing to me.
And if I was Bobby’s girl,
If I was Bobby’s girl.
What a faithful, thankful girl I’d be.
Each night I sit at home,
Hoping that he will phone…*
Great role model for our daughters!
OOOH, I get to post Lou Christie’s “Lightning Strikes!”
If you’ll just wait around like a damn idiot while I cheat on you, eventually I’ll come back and be faithful! I promise, baby! But every time I see a pretty woman, lightning strikes and I just can’t keep my pants zipped!
Nature’s takin’ over my one-track mind
Believe it or not, you’re in my heart all the time
All the girls are sayin’ that you’ll end up a fool
For the time being, baby, live by my rules
Dammit Sigmagirl, I read the whole thread and almost got to post “Lightning Strikes” 
I might nominate “Under My Thumb” by the Rolling Stones but it might actually be blatantly “creepy” like “Every Breath You Take” and is not subtle enough to fit here.
This may not be what the OP was looking for, but the Fifth Dimension song “Carpet Man” is told from the perspective of a friend who is warning someone that his girlfriend is emotionally abusive. Lyrics here. The relationship is sick, but the friend knows it and is trying to tell the poor dumb schmuck that it is.
I swear I won’t tease you
Won’t tell you no lies
I don’t need no bible
Just look in my eyes
I’ve waited so long baby
Now that we’re friends
A man’s got his patience
And here’s where my ends
I want your sex-george michael
I will be your father figure,
Put your tiny hand in mine…
That’s all I wanted
But sometimes love can be mistaken
For a crime-also george michael. DAMN, he was creepy.
You don’t have to say a word
I’m convinced you want this…
It’s creepin around in my head
Me holding you down in my bed
I can’t wait to give you some
I’m convinced you need it
-Jordan Knight, of the 80s boy band New Kids On The Block