Name as many contributions the ancient greeks made to modern society as you can?

Your question is kinda silly because ancient peoples gave no attention at all to contributing anything to later cultures, except that they went to some effort to flatter themselves when recording history. In fact a lot of the contributions are described as "borrowed" or even "stolen" by later peoples. And in the end we can only say that our society was built upon some influences from the past. It is quite a stretch to call them contributions.