Then the outside of the meat is sliced thin, and it is generally served on a pita, rolled up with Tzatziki sauce, tomatoes, onions and fried potatoes. I thought the traditional meat used in Greece was lamb, but it is actually pork or chicken. Lamb and beef are what are most commonly used in Greek-American gyros. As flavorful as fatty cuts of meat are, I decided to keep our Greek gyros a little leaner and amp up the flavor using herbs and spices. They turned out delicious! I canât wait to share this Healthy Greek Gyro Recipe with you, so letâs get started!