Utilitarianism drops the last requirement, and holds that there is something (call it "utility") that actions or states of the world have, and that actions are motivated or justified in terms of this something. Also a nice theory, also turns out to be wrong. (Unless you explicitly define "utility" so as to make it true, in which case it's true but vacuous.)
John Stuart Mill wrote a famous (and short) book called Utilitarianism, about Utilitarianism.