Joseph Anderson (antiquarian) (1832–1916), Scottish antiquarian, keeper of the National Museum of Antiquities of Scotland 1870–1913, father of the judge Lord St Vigeans
Joseph Anderson (Mormon) (1889–1992), secretary to the First Presidency of The Church of Jesus Christ of Latter-day Saints
Joseph B. Anderson (born 1943), American executive with T.A.G. Holdings, whose Vietnam War service was portrayed in The Anderson Platoon