Has an AFL game ever ended 65-61?
Exactly once. On June 8, 1963, Hawthorn beat St Kilda 65-61, and no AFL game before or since has ended that way. When it happened it was a scorigami, the first 65-61 in league history.
That makes 65-61 the 3836th most common final score out of 6,607 that have ever occurred in AFL. One point away, 66-61 has happened 2 times and 65-62 has happened 3 times.