Gustav Anrich (2 December 1867 in Rountzenheim, Alsace – 13 November 1930 in Tübingen) was a German church historian from Alsace, who served as rector of both the University of Strasbourg and the University of Tübingen (1928–1929). He was a leading expert on the history of early Christianity and its relation to and influence by ancient mystery religions and the emergence of the cult of saints. He was also noted for his work on the history of the Reformation in Alsace. In his last years, he concerned himself with the history of the University of Strasbourg and Alsace more broadly, but he died before he could complete his work on the university's history.