This is for songs where the author may have a clever or catchy title, but it clearly does not match the lyrics.
In my mind is Michael Jackson’s “Smooth Criminal”.
Does I’m Not In Love by 10cc fit?
I either don’t understand the OP or the OP’s choice. Why is the title Smooth Criminal wrong? Even if we look past Jackson’s (smooth) performance as the criminal, said criminal still got in and out without being caught.
Yeah.
Is the conflict in the word “smooth” or in the word “criminal”?
“Weird Al” Yankovic - (This Song’s Just) Six Words Long
Badge by Cream. Has nothing to do with stinking badges.
Dunno if this is what is meant by the OP, but anyway:
Jane Siberry, title: “It Can’t Rain All the Time”…
But the lyrics instead have that phrase as “It won’t rain all the time”…
Sorry, op got interrupted and then corrupted.
What songs did the writer have a clever or catchy title, but it’s at odds with the lyrics of the song?
I’m thinking of Michael Jackson’s “Smooth Criminal”.
Said criminal breaks into the apartment, leaves bloodstains on the carpet, chases Annie into the bedroom, and kills her.
There’s nothing smooth about that. A smooth criminal is long gone before anyone knows they’ve been robbed.
What other songs did the writer miss the mark with the title?
Not true. “Badge” is a reference to the police officers who arrest the GF when she drives his car without permission. Also, later in the song, the GF needs to pick herself up off the ground because she’s been arrested after putting on a SovCit routine.
I don’t know what she did to the swans, though, that merited police intervention.
I thought Annie was OK.
Badges? We ain’t got no Badges! We don’t need no Steenkin’ Badges! - G. Baker (unconfirmed)
I thought you were going to be going for In A Gadda Da Vida type titles.
-Thank You (Falettinme Be Mice Elf Agin)
Not sure if that’s a joke or not, but the song is (quite famously) named after a misreading of the word bridge.
It wasn’t a botched robbery, it was a successful murder.
In “The Kids Aren’t Alright” by The Offspring, it’s the adults who “aren’t alright.”
‘Isn’t it Ironic’ by Alanis Morrisette? The only example given in the song that’s even close to actual irony is the guy who grits his teeth and gets on a plane even though he’s afraid to fly, and the plane crashes.
“I Married Her Just Because She Looks Like You” by Lyle Lovett. That’s even the chorus of the song, but the lyrics make clear that he married her because she was sweet and loving, and you were cruel to him.
I thought the part about the swans would give it away.
Obviously she ran over the swans after he told her that they lived in the park. So that makes him an accesory to the crime and thus the badges come after them both. 
The only line of this song that makes any sense is the last one, “She cried away her life since she fell out the cradle”.
Ok, but there’s still nothing smooth about it.
Pete Townsend titled the Who song “Baba O’Riley” as an homage to his gurus, Meher Baba and Terry Riley. If you listened to the song’s lyrics, though, you’d think a better title would be (and it was the working title for some time before publication) “Teenage Wasteland”.