Ever since I saw a fanmade music video with Imagine Dragon's "Believer" I associate the song with Matt. Probably not an obvious choice if you only know the Recolle Matt Murdock but it works quite well for Daredevil. (Link above is to a lyrics video. I didn't link the fan video because it contains spoilers for the first 2 seasons of the show.)

Of course I need more music for this guy so do throw songs at me! >D

NOT EVANESCENCE DAMMIT THAT'S AFFLECK'S DAREDEVIL