Pictured here is a Greek Himation. These were worn only by men of a particular status like politicians… It can be recognized by its squarish shape (all the edges are straight) as it is wrapped around the body.
Depicted here is a man wearing a Chlamys. You can tell because it resembles a small blanket wrapped around the body. They main tell though is the fact that it is pinned on the right shoulder with a fibula.