Has a College Football game ever ended 37-5?
Yes. College Football has seen a final score of 37-5 4 times. It first happened on November 2, 1901, when Holy Cross beat Andover, and most recently on September 2, 1995, when Baylor beat Tulsa.
That makes 37-5 the 1361st most common final score out of 2,215 that have ever occurred in College Football. One point away, 38-5 has happened 4 times and 37-6 has happened 64 times. At one point the score disappeared for 74 years, between 1906 and 1980.