Leave Out All The Rest by Linkin Park

This song is about a man looking for
redemption from his past mistakes.
He knows he has hurt people and made some poor choices,
and now he wants to be forgiven.

What A Catch, Donnie by Fall Out Boy

This features British singer-songwriter Elvis Costello, Travis McCoy from Gym Class Heroes, Gabe Saporta from Cobra Starship, William Beckett from The Academy Is..., Brendon Urie from Panic at the Disco, Doug Neuman from Doug and Alex DeLeon from The Cab. The artists, who apart from Costello are all on Pete Wentz's Decaydence record label, sing lines from other Fall Out Boy numbers.
The songs they quote from are as follows:
Elvis Costello - " Travis McCoy - "Sugar We're Going Down"
Gabe Saporta - "Grand Theft Autumn"
William Beckett - "Growing Up"
Brendon Urie - "Dance, Dance"
Doug Neuman - "This Ain't A Scene, It's An Arms Race"
Alex Deleon - "Thnks Fr Th Mmrs"

Stump explained to AbsolutePunk why this is probably his favorite song on Folie a Deux. "It's a really interesting thing where Pete was kind of writing in a character, and the weird thing is that it's like me, it's as if I wrote the lyrics,
but I didn't. And I'm not being narcissistic, it's really cool,
like it's impressive to me how well he has me figured out,
so it just made me respect him that much more as a writer.
It's weird, it felt like I sat down and wrote a confessional song,
but I didn't. It feels like that to me, but I didn't.
I was writing off of Pete's lyrics, but it's as if I was confessing through them."

You Found Me by The Fray

The starting point for this song was back in 2006 when frontman Isaac Slade found himself pondering why bad things happen to good people after witnessing various crises among people close to the singer.
Slade said on The Fray's website that this was a tough song for him to write. He explained: "Its about the disappointment, the heart ache, the let down that comes with life. Sometimes you're let down, sometimes you're the one who lets someone else down. It gets hard to know who you can trust, who you can count on. This song came out of a tough time, and I'm still right in the thick of it. There's some difficult circumstances my family and friends have been going through over the past year or so and can be overwhelming.
It wears on me. It demands so much of my faith to keep believing, keep hoping in the unseen. Sometimes the tunnel has a light at the end, but usually they just look black as night. This song is about that feeling, and the hope that I still have, buried deep in my chest."

Rebirthing by Skillet

This song is about how life
is suffocating him.
He is making the choice
to live his
life for a greater purpose
and now he can finally relax.