there are lots of different types,
Amphora-common type of handled vase, various sizes. wine/oil
storage vessels.
Dinosa- no handles, rounded bottom.
Hydria- handled water vessel.
Kantharos- large ornate handled drinking vessel.
Krater- mixing jar for wine and water
Kylix- shallow drinking cup
Phiale- libation bowl, no handles or stem.
Pyxis- more like a box than a vase, but painted in the same
style as the ones above.
Stamnos- type of amphora
Psykter- wide bottom cooling vase.
Oinochoe- pitcher for pouring wine.
Loutrophoros- "carrier of washing water"
Lebes Gamikos- marriage bowl, ritual vase for carring water to
the bridal bath.
Lekythos- small vase for perfumed oils.
Alabastron- oil vase
Aryballos- small vase with rounded base for pouting and holding
oil.