There were over 50 styles and schools of ceramic painting in Greece from the Neolithic to the end of the Hellenistic period. To name just a few:
Geometric style, Minoan, Mycenaean, Orientalizing style, Black-figure, Red-figure, Kerch Style, White ground style, Apulian, Lucanian, Paestan, Campanian, Sicilian etc.
https://en.wikipedia.org/wiki/Pottery_of_ancient_Greece