HIMYM Songs in Season 6

"Ballad of Sir Frankie Crisp" by George Harrison is played during the wedding (at the beginning and the end of the episode).
Cindy and her friend kiss while "Run Off The Road" by Ola Podrida is being played.

Barney and James sing "Stand by Me" by Ben E. King along with James' father Sam.

When Ted gives the speech to their student about unfinished stuff and leaves the room, we can listen to "Real Estate" by Beach Comber

When Ted dances with Zoey at the end of the episode, you can hear "La Javanaise" from Madeleine Peyroux.

When Robin gets her picture taken for the badge on her new job at World Wide News, we can hear Xmas Time is Here Again from My Morning Jacket

At the end of the episode, when Ted, Lily and Barney call their parents, we listen to Keegan Dewitt's Nothing Shows.

When Barney says "Challenge Accepted" at the end of the episode, we hear "Ballad of Sir Frankie Crisp (Let It Roll)" by George Harrison.

This is the Series Theme Song: yeah, the one that you sing "pa pa pa pa .. pa ra ra ra ra ra ra ra ra ra ra ra!". The name is "Hey Beautiful", played by "The Solids".