Ancient Greek clothing consists of chitons, himations, peplos, chlamys, etc.
The existing toga was worn by the Romans, so it would be nice to have more clothing from Greek culture, especially since my upcoming story includes Ancient Greek gods 
Here’s a wiki page showing and describing these clothes: Clothing in ancient Greece - Wikipedia
Here are some descriptions (and pics) of each of the clothing articles:
Chiton: simple light tunic that was worn by both sexes and ages and usually came down to the ankles (shorter ones were worn for battle), there also includes two types, Doric and Ionic
Himations: worn over chiton or peplos, made of rectangular material
Peplos: predecessor of himation, a square cloth that is originally worn over chiton by women
Chlamy: a rectangle of woolen material worn by men for military/hunting purposes, worn as a cloak, fastened with a button/brooch at the shoulder
