Some of the music I find inspiring are :

Alive - Sia https://www.youtube.com/watch?v=c7PLgW7LwhU
Human - Christina Perri https://www.youtube.com/watch?v=ZDmoXv9b36o
Fight Song - Rachel Platten https://www.youtube.com/watch?v=4UqfrH74wc0
The Light - Alela Diane (I have no video of this, its from a CD I got in one of the DVD collections)
The Preacher - Jamie N Commons https://www.youtube.com/watch?v=orivEatc2fw
The Way I Was - Colbie Caillat https://www.youtube.com/watch?v=d0nCNVZcPjo
Save Tonight - Zayde Wolf https://www.youtube.com/watch?v=RoBKglv7IkU
Lean - The National https://www.youtube.com/watch?v=33XSGTXEOp8
Don't Fear The Reaper - Gus Black https://www.youtube.com/watch?v=X3mwYiSNOsY
The Soundtrack to The Last Of Us https://www.youtube.com/watch?v=_r1iaQvdwQk
The soundtrack to This War Of Mine https://www.youtube.com/watch?v=8ODdW4hcOow
The Soundtrack to Everybody's Gone To The Rapture https://www.youtube.com/watch?v=ImFA7F571TA
The Last Survivor album by Keith Kenniff https://www.youtube.com/watch?v=sww1...dDDDUhnIE2DcOm
Post Apocalyptic music by Arn Anderson https://www.youtube.com/watch?v=FM9l...fQQtATK3Vx3mYB
Hidden Citizens - Reawakenings https://www.youtube.com/watch?v=fCHG...YW9WCjuQ9LcsFf