Dick Grayson:

Shattered
-Trading Yesterday

Superhero
-Simon Curtis

Bet on it
-Troy

Circus
-Britney Spears
(Judge me)

Jason Todd:
The High Road
-Three Days Grace

Animal I have become
-Three Days Grace

Back from the Dead
-Skillet

Tim Drake:

Welcome to the Black Parade
-My Chemical Romance

Hall of fame
-The script

Superheroes
-The script

Damian Wayne:
Undefeated
-Skillet

On my own
-Ashes Remain

Bruce Wayne:

Human
-Rag'n' Bone Man

What Ive done
-Linkin Park

Warriors
-Imagine Dragons

Pain
-Three Days Grace

Defeated
-Breaking Benjamin

Batclan:

Hero
-Skillet

Unbroken
-Black Veil Brides

Without you
-Breaking Benjamin
(Alfred & Bruce)

Remember the name
-Fort minor

I lived
-One republic

Get out Alive
-Three Days Grace
(The risks with being part of the Batfamily, what the older members would try to say to the newer ones)

Never too Late
-Three Days Grace
(Bruce and Jason)

Bonus:
Back in Black by Ac/Dc
-Theme song for Lego Batman

A/N: Sorry about the explicit words in the song if you listened to it, its not mine