While many people associate lots of meat with a Greek meal, nothing could be further from the truth when it comes to the actual day-to-day meals that most households in the Mediterranean eat. That daily menu is far more likely to contain beans, lentils, salad, and maybe some sardines than it is to contain lamb or any other meat.
Meat is only an occasional part of the menu, typically no more than 1--3x a week in most households I know. The impression to the contrary undoubtedly stems from the wonderful hospitality of that region of the world that has any host or hostess wanting to show their guests their Sunday best rather than the more mundane meals that they eat every day.
To give you an example, on our annual family visits to Cyprus, my dear mother-in-law, Aphrodite, would ask me each day what she should cook.