Different song Same Name

[Jockice]

Delta Five did the best song called You.

[Glyn]

1994 - Yes : Manic Street Preachers
1995 - Yes : McAlmont & Butler
1996- A Design For Life : Manic Street Preachers ,completely steals the sound (and producer) of McAlmont & Butler's Yes

[Kane Jones]

"Let It Go" (Alexandra Burke song), 2012

"Let It Go" (Brit & Alex song), 2008

"Let It Go" (Def Leppard song), 1981

"Let It Go" (Devlin song), 2011

"Let It Go" (Disney song), from the 2013 movie Frozen, sung by Idina Menzel, covered by Demi Lovato

"Let It Go" (Dragonette song), 2012

"Let It Go!" (F.T. Island song), 2011

"Let It Go" (George Strait song), 2015

"Let It Go" (Jacky Cheung song), 2010

"Let It Go" (James Bay song), 2014

"Let It Go" (Keyshia Cole song), 2007

"Let It Go" (Ray J song), 1997

"Let It Go" (Tim McGraw song), 2008

"Let It Go" (Will Young song), 2009

"Letitgo" (Prince song), 1994

"Let It Go", by Afterlife from The Afterlife Lounge

"Let It Go", by Alesha Dixon from Fired Up

"Let It Go", by Anna Rossinelli from Marylou

"Let It Go", by The Bangles from Different Light

"Let It Go", by Cavo from Bright Nights Dark Days

"Let It Go", by Cormega from Legal Hustle

"Let It Go", by Day26

"Let It Go", by Day One

"Let It Go", by Dirty South

"Let It Go", by Dissident Prophet from We're Not Grasshoppers

"Let It Go", by Fe

"Let It Go", by Floor Thirteen from Mmmm!

"Let It Go", by Grace Slick from Dreams

"Let It Go", by Great Big Sea from Something Beautiful*

"Let It Go", by Hideki Naganuma from the video game Ollie King

"Let It Go", by Kirk Franklin from Hero

"Let It Go", by Krokus from Heart Attack

"Let It Go", by Lorene Drive from Romantic Wealth

"Let It Go", by Luba from Secrets and Sins

"Let It Go", by Melissa O'Neil from Melissa O'Neil

"Let It Go", by The Neighbourhood from I Love You

"Let It Go", by Nick Carter

"Let It Go", by Scatman John from Everybody Jam!

"Let It Go", by Shinhwa from The Return

"Let It Go", by Wiz Khalifa from O.N.I.F.C.

"Let It Go", by Yuna Ito

"Let It Go (Lil Mama)", by Nelly from Brass Knuckles

"Don't Let It Go", by Beck.

[Rich Uncle Skeleton]

At first glance I thought this was "Different Name Same Song" - so here I am to throw down with I Am A Camera by The Buggles which became Into The Lens when they joined Yes.
I like Yes but heard the Buggles version first so the cynic in me felt like they just added time changes for the hell of it when I heard the Yes track later haha but it's a great tune. Great intro (presumably written by Yes) too.

[Gurke and Hare]

There are many songs called I Want You Back.

[SteveDave]

There are many songs called I Want You Back.

And I wrote the words for one of them.

[McChesney Duntz]

Couple of long (and therefore unlikely candidates for unrelated replication) titles:

I Should Have Known Better - the Beatles, Wire
Behind the Wall of Sleep - Black Sabbath, the Smithereens

[LORD BAD VIBE]

More artists to add to purlieu's list...

Boom Boom - John Lee Hooker
Breathe - The Prodigy
Don't Stop - Red Hot Chili Peppers
The Fear - Pulp & Lily Allen
Freedom - Rage Against the Machine
Goodbye - Mary Hopkin
Happy - Ned's Atomic Dustbin
Hey You - The Quireboys
I Believe - Frankie Laine and about a billion others!
Indian Summer - Beat Happening
Love Song - Syd Barrett
Mother - John Lennon
Procession - New Order
Remember - John Lennon (again, from the same album as Mother)
Sorrow - The Merseys (also covered by Bowie)
Stay - Shakespear's Sister

[poodlefaker]

Dagenham Dave - Morrissey / The Stranglers
Christian Dior  - Morrissey / Adam and the Ants

[chand]

Oblivion - Terrorvision, Grimes, many others.

Mastodon for one.

My favourite one of these has to be 'Thong Song'. Most famously a song by Sisqo, but also the name of a ridiculous 1992 song by pre-QOTSA stoner rock faves Kyuss: https://www.youtube.com/watch?v=CtFuXV5FEvI 

Two very different takes on the old thong, there.

[Dr Rock]

Nick Cave liked The Hammer Song by The Sensational Alex Harvey Band so much he included his version of it on his covers album, Kicking Against The Pricks. A few years later he recorded a completely different song called The Hammer Song.

[Rev Arthur Belling]

I always considered this an interesting curio:

The Dave Clark Five - Everybody Knows

https://www.youtube.com/watch?v=2unqM_L4wWI

The Dave Clark Five - Everybody Knows

https://www.youtube.com/watch?v=uOP4pcjYhbs

Two songs with the same title by one band.  And both were big sellers!

[Black Ship]

https://www.youtube.com/watch?v=RQ9xveRsWxo Andrew W.K.

https://www.youtube.com/watch?v=BTRlQupZmP0 Pulp

https://www.youtube.com/watch?v=sVOdrWTLABA Donae'o

[holyzombiejesus]

The ultimate mid-eighties pop face off of:

The Power Of Love by Huey Lewis And The News Vs The Power Of Love by Frankie Goes To Hollywood Vs The Power Of Love by Jennifer Rush, surely?

Aidan Moffat covered them all in one song and even had a bit of Peter Cetera's Glory of Love in there for good measure.

[poodlefaker]

Here Comes the Night - Them / Walker Brothers

[Vodka Margarine]

Something For The Weekend - Divine Comedy and Super Furry Animals. Released within a month of each other.

[Ray Travez]

What becomes of the broken hearted?- Wedding Present

What becomes of the broken hearted?- the other one

[armful]

What becomes of the broken hearted?- Wedding Present

What becomes of the broken hearted?- the other one

A fine Weddos song that is  too

[SavageHedgehog]

Nick Cave liked The Hammer Song by The Sensational Alex Harvey Band so much he included his version of it on his covers album, Kicking Against The Pricks. A few years later he recorded a completely different song called The Hammer Song.

How many artists have two songs with the same title? It's rare, but it does happen. I know (because I'm so cool) that Chris Rea has at least two songs called Texas.

[Jockice]

A fine Weddos song that is  too

While we're on the subject.
https://www.youtube.com/watch?v=XA92kqxyKw8

And
https://www.youtube.com/watch?v=3Y6u1gmEGWY

[New Jack]

I Will by the Beatles, Radiohead, and probably loads more