Has an AFL game ever ended 48-37?
Exactly once. On May 14, 1960, Carlton beat Hawthorn 48-37, and no AFL game before or since has ended that way. When it happened it was a scorigami, the first 48-37 in league history.
That makes 48-37 the 3836th most common final score out of 6,607 that have ever occurred in AFL. One point away, 49-37 has happened never and 48-38 has happened 2 times.