Has an AFL game ever ended 19-16?
Exactly once. On June 19, 1897, Essendon beat Sydney 19-16, and no AFL game before or since has ended that way. When it happened it was a scorigami, the first 19-16 in league history.
That makes 19-16 the 3836th most common final score out of 6,607 that have ever occurred in AFL. One point away, 20-16 has happened never and 19-17 has happened never.