Has an AFL game ever ended 165-51?
Exactly once. On May 23, 1987, Hawthorn beat Essendon 165-51, and no AFL game before or since has ended that way. When it happened it was a scorigami, the first 165-51 in league history.
That makes 165-51 the 3883rd most common final score out of 6,649 that have ever occurred in AFL. One point away, 166-51 has happened never and 165-52 has happened never.