Legal profession - a senior judge or attorney will have social status and influence far beyond one simply granted by their wealth. University professors likewise. Doctors, especially the kind that work on diseases typical for wealthy old men; they will have status, social connections and influence beyond their profession. Politicians - town mayors generally aren't rich, but have influence and social status.

In essence, it's about the professions that work closely with other people. If you're high-ranking in a profession that provides an personal service that matters to socially important people, you'll have influence. Does your profession bring you into personal contacts with important people, where they are motivated (or forced) to rely on your specific personal competence? That will buy you their respect.