I like musical theatre, rock (not metal), pop and hip hop. Any good songs in those genres to listen to while mad?
I take it you mean mad angry, not mad as a hatter, right? My two favorites for that are "My name" from the musical Oliver (sung by the character Bill Sykes) and "Walk on Gilded Splinters" on the album Gris-Gris by Dr. John the Night Tripper. The first is an angrier song, sung by a mean and powerful character; the second gives that sense of power more to me when I sing it. Mad at someone who hurt you in love? "Back Door Man" by Johnny Winter. Mad at the system that sends young men and women off to kill and die for oil and rains down death from the sky? "Masters of War" by Bob Dylan.
Johnny Winter, "Back Door Friend" Listen to the tension between the guitar and the harmonica at 1:34.