Aristocracy is a sub-type of oligarchy. In an oligarchy, rule is carried out by a select few; an aristocracy is a government where the select few are the best or most capable.
Plutocracy mean more than one ruler, plural. Oligrachy means an elite ruling class, usually business owners or feudal barons. Aristocracy means a hereditary elite, usually through land ownership....
They are functionally the same. Theocracy is the rule by a small number of a religious sect. The Vatican is an example of a theocracy. The Massachusetts Bay Company was another.