Has an AFL game ever ended 71-44?
Exactly once. On May 21, 1955, Melbourne beat Hawthorn 71-44, and no AFL game before or since has ended that way. When it happened it was a scorigami, the first 71-44 in league history.
That makes 71-44 the 3836th most common final score out of 6,607 that have ever occurred in AFL. One point away, 72-44 has happened 3 times and 71-45 has happened 2 times.