Has an AFL game ever ended 37-22?
Exactly once. On July 26, 1902, Sydney beat St Kilda 37-22, and no AFL game before or since has ended that way. When it happened it was a scorigami, the first 37-22 in league history.
That makes 37-22 the 3836th most common final score out of 6,607 that have ever occurred in AFL. One point away, 38-22 has happened never and 37-23 has happened 1 times.