Has an AFL game ever ended 116-82?
Exactly once. On June 26, 1982, Hawthorn beat Carlton 116-82, and no AFL game before or since has ended that way. When it happened it was a scorigami, the first 116-82 in league history.
That makes 116-82 the 3836th most common final score out of 6,607 that have ever occurred in AFL. One point away, 117-82 has happened 5 times and 116-83 has happened 7 times.