One thing I like from their culture is their cuisine. I attended a food competition near my place last year, and I really liked the food from the Greek buffet table. I find with the food that Greeks are hearty eaters with a tasty palate - their food are very tasty and makes you want to eat a lot, yet keep your health in check. The chef I met also said that Greek cuisine is the most adapted and descriptive of Mediterranean cuisine.
I especially liked their kebabs, loukoumades, salads, gyros, kourabiedes, and moussaka. I really wanted to try and taste all the food on the buffet table but I was already full (it was the 7th table I visited). I liked their green salads the best (I think it was the salad I liked most from among the others) so I asked the chef for the recipe instead.
Also, I took up Greek mythology classes at high school and college. Their mythology is quite fascinating.