Has an AFL game ever ended 39-34?
Yes. AFL has seen a final score of 39-34 4 times. It first happened on June 4, 1898, when Fitzroy beat Geelong, and most recently on June 22, 1935, when Melbourne beat Footscray.
That makes 39-34 the 947th most common final score out of 6,607 that have ever occurred in AFL. One point away, 40-34 has happened 3 times and 39-35 has happened 2 times.