... must be a caucasian and gentile male, with rare exception :-(
My grandmother and her twin sister, both Hispanic women, went to college in Washington State in the early 1930s. I suspect the type of policies you're talking about were more prevalent in private universities, especially fancy ones. Also, it was a lot more prevalent in the 19th century, and I think also more prevalent in professional schools (medicine/law) than in other faculties.
That being said, Harvard admitted its first African-American student (male) in about 1870. I remember reading in Bartlett's Quotations something from the president of Harvard who was there at the time: in response to student opposition to the admission of a black student, he refused to renege on the admission and said something to the effect of, "If the entire student body wishes to resign in protest, they may do so, in which case the entire resources of this university will be solely dedicated to the education of this boy."
What a great guy that president must have been...