Normal humans have normal responsibilities unlike government officials, presidents, those are the ones that has higher responsibility than we do.
As I was browsing the internet, I found an article entitled, The Sequence of Personal Responsibility by Ron Haskins from the site called Brookings. Haskins stated, "But the personal responsibility also means that when individuals fail to meet expected standards, they do not look around for some factor outside themselves to blame." That goes for super heroes as well. Super heroes do not just look up for justice, or for responsibilities outside their personal lives, they consider it as personal.
For the other type of super humans, the non-heroic ones, responsibilities may seem inevitable, but for them, the real responsibilities are just like the normal humans have. They protect their names, reputations and all but that has nothing to do with non-personal responsibilities.
The things that supers tell us, either epic or non-epic super heroes is that responsibility has no exceptions. All of us should know what we have to do in order to live peacefully and happily. Social responsibilities tend to be more difficult as we grow older. And that is when we acquire more power. That is the time when we will have greater responsibility.