Maybe this is better stated as: you are still responsible for your effects on other people. You don't need to feel responsibility for every little thing everyone else does, but to the extent that you hurt someone else, it's on you to make it right.
I like this MUCH better, you are responsible for yourself and the results of the choices you make and actions you take. That combination, once internalized, qualifies you to be an adult.
As a parent consider seeking out activities for your kids that will give them an opportunity to live that experience (ideally in a safe way) so that they will understand what is expected of them.
