As I see it, success means different thinks to different people. As you say to some people, success might mean wealth. To some others, it is recognition, happiness, satisfaction, and peace of mind.
To my understanding a successful person is someone who lives in peace and harmony with himself/herself, the others, and the universe. When this is the case, the individual attains, I think, a state of self-actualization in A. Maslow's pyramid of needs.