Has a College Football game ever ended 71-63?
Exactly once. On November 2, 2003, Arkansas beat Kentucky 71-63, and no College Football game before or since has ended that way. When it happened it was a scorigami, the first 71-63 in league history.
That makes 71-63 the 1820th most common final score out of 2,216 that have ever occurred in College Football. One point away, 72-63 has happened never and 71-64 has happened never.