Unrelated songs with the same titles

[GreatJedi7]

Amberian Dawn too.

And Dream Theater.

[Logan812]

"Learning To Fly" - Emerson Lake & Palmer/Pink Floyd/Tom Petty and the Heartbreakers
"Learn To Fly" - Foo Fighters

[HardRockerBrazil]

I remember there was an entire article of Wikipedia dedicated to this.

Anyway, one of the most ridiculous coincidences I've ever seen:
"Over the Hills and Far Away" - Led Zeppelin/Gary Numan (the latter of whom was covered by Nightwish)

[Nirvaniac]

Bodies

Sex Pistols/Drowning Pool

[PanicAttack90]

I've got a load of these. Here are just my favourites:
Arch Enemy and Metallica have songs called "My Apocalypse".
Lacuna Coil have songs called "Wide Awake", "Closer", "Spellbound", "Circle", and "I'm Not Afraid", which are shared with Katy Perry, Ne-yo, Siouxsie and the Banshees, Slipknot and Eminem respectively.
Delain and Pat Benatar share "Hit Me With Your Best Shot".

[Mega-Tallica]

Depswa/Alice In Chains - "Down In A Hole"

I thought Depswa's song was going to be a cover at first, but it's not so there's another one.

[IceNose]

Forever Young - Bob Dylan, Rod Stewart, Alphaville
Evil Woman - Black Sabbath, Electric Light Orchestra
Hey You - Pink Floyd, Bachman Turner Overdrive <-- and many more artists, I'm sure
Rock and(&) Roll - Led Zeppelin, Velvet Underground
What Goes On - Beatles, Velvet Underground
It's My Life - The Animals, Bon Jovi, Talk Talk
All I Want - Offspring, Toad the Wet Sprocket
On the Road Again - Bob Dylan, Willie Nelson, Canned Heat
Is This Love - Bob Marley, Whitesnake

[mdogg094]

Bodies

Sex Pistols/Drowning Pool

It's a one word title so its a no go, but Smashing Pumpkins also has a "bodies" as well

[SuperTigerMario]

And it's one word I know but still:

Blackbird - The Beatles/Alter Bridge

I thought that was a cover? Little did I know...

[PanicAttack90]

Hey You - Pink Floyd, Bachman Turner Overdrive <-- and many more artists, I'm sure

The Exies spring to mind immediately.