He; used as an intensifier, often to emphasize that the referent is the exclusive participant in the predicate
Him; the male object of a verb or preposition that also appears as the subject
The subject or non-reflexive object of a predicate; he himself.
The subject or non-reflexive object of a predicate; he (used of upper-class gentlemen, or sarcastically, of men who imagine themselves to be more important than others)