Has a College Football game ever ended 36-4?
Yes. College Football has seen a final score of 36-4 3 times. It first happened on November 18, 1893, when Princeton beat Army, and most recently on November 26, 1908, when LSU beat Arkansas.
That makes 36-4 the 1476th most common final score out of 2,216 that have ever occurred in College Football. One point away, 37-4 has happened never and 36-5 has happened 5 times. Nearly all of its occurrences fall between 1890 and 1919.