The term "greater good" is usually associated with the philosophy of utilitarianism. It can also mean:

A song by Iron Maiden - For the Greater Good of God

An episode in the TV series Lost - The Greater Good

An ongoing charitable project by the First Unitarian Church of Rochester

An opera by contemporary American composer Stephen Hartke - The Greater Good, or the Passion of Boule de Suif

An alien race in the wargame Warhammer 40,000 - the Tau

A magazine published by the University of California, Berkeley