Has a College Football game ever ended 62-51?
Exactly once. On November 3, 2012, Oregon beat USC 62-51, and no College Football game before or since has ended that way. When it happened it was a scorigami, the first 62-51 in league history.
That makes 62-51 the 1820th most common final score out of 2,216 that have ever occurred in College Football. One point away, 63-51 has happened never and 62-52 has happened 2 times.