Ancient Greek pottery history. When we think of ancient Greek pottery, we think of the vase, a vase with Greek fighters, black ceramic vase in a museum. Where the geometric red figure and black figure pottery or Corinthian from Athens beginning with the sixth century BC. The bricks are known for Amphora, large beer jugs which have been found in sunken Greek vessels, the Amphora were also used to hold oil or grain. The Greeks are known for the red figure pottery, red figures on a black background from the Hellenistic period in the fourth century BC.