You misunderstood my question. Your response implied you felt math was unnecessary. I asked for examples of students' special interests or needs that ultimately would never include math.
But since you opened the door:
History is the most egregious--seriously? People shouldn't study history unless it interested them? If all you got from history was a list of names and dates, you missed the point. A large portion of simply making good decisions is knowing prior events as well as understanding the sociological context in which any present dilemma exists, the abilities of which are gained through the study of history. Apart from public policy, if being a responsible voter wasn't enough for you, this easily extends to business decisions as well, and it doesn't matter how limited a scope one has--understanding history is having a basic sense of how people work when faced with change or opposition, and nearly everyone in the workforce is eventually put into a circumstance of having decisions to make involving others. Granted, I still think being a responsible voters is the bigger point here--unless you're fascist, in which case ignore it.
PE is one part education, one part social development, and three parts simply maintaining health through exercise. If you're so concerned about the education part, then the critical piece of PE is sex ed. Is preventing teen pregnancy and STD epidemics that unimportant to you?
Chemistry I might be able to see, if I didn't actually use chemistry in my day to day life, and it has nothing to do with my job. This is something you don't actually realize is useful until you know it, but touches on everything from cooking to maintaining a stable body condition. People can get by without knowing it, but chemistry is more integral to understanding the world around you than everything else you mention.
Music isn't a requirement in the first place, at least not everywhere. I never had to study music. I have seen that students who have studied music are more well-rounded individuals, but I'd be willing to concede the point if only for my own ignorance.