The ancient Persians were particularly fond of griffins. Column from Persepolis and relief from the Palace of Darius I at Susa.
Relief from Old Kingdom Egypt showing an assortment of demons. The oldest surviving depiction of a griffin comes from Egypt, dating to around 3100 BC, but a fusion of lions and eagles seems rather obvious to me so the idea may be much older.
Pebble mosaic from Sikyon, Greece, 350-300 BC.
Pitcher or aquamanile in the form of a griffin, from Nuremberg, Germany, 1425-1450 AD.
Restored fresco from the Minoan palace at Knossos.
Silver stater from Teos, c 500 BC.
Scythian felt applique from one of the frozen tombs of the Altai.