Here are some songs that relate to characters or events in the story
Devil: --Number of the Beast By- Iron Maiden
When Goodman is leaving Faith for his "journey" --A Daydream Away By- All Time Low -- Hey There Delilah By- The Plain White T's
Goodman Brown (About Faith): --Been Waiting for a Girl Like You By- Foreigner
After Goodman realizes everyone is a hypocrite: -- Prayer of the Refugee By- Rise Against -- Crazy Train By- Ozzy Osbourne -- Endless Night from the Lion King Broadway musical
Faith -- Killer Queen By- Queen
Goodman has lost all faith in Faith -- Savior By- Rise Against --The Story of Us By-Taylor Swift
Townspeople of Salem -- Runnin' With the Devil By- Van Halen