What's your favorite mediterranean cuisine dish?
Well most mediteranian food has the same core elements of cuisisine. They are olive, wheat and grapes. Any combination of those is good to me!
Interesting. What is a popular Mediterranean meal?
Not really sure but I bet you find the answer in Elizabeth David's book "A Book of Mediterranean Food"  
Ok I will check that out. Know of any good Mediterranean restaurants?
No I really don't, I'm really more familiar with the regional cuisine of the American Midwest.  
I see. Which cultures influenced Mediterranean cuisine?
Mediterranean cuisine
Mediterranean cuisine is the foods and methods of preparation by people of the Mediterranean Basin region. The idea of a Mediterranean cuisine originates with the cookery writer Elizabeth David's book, "A Book of Mediterranean Food" (1950), though she wrote mainly about French cuisine. She and other writers including the Tunisian historian Mohamed Yassine Essid define the three core elements of the cuisine as the olive, wheat, and the grape, yielding olive oil, bread and pasta, and wine; other writers emphasize the diversity
a diet rich in olive oil, wheat and other grains, fruits, vegetables, and a certain amount of seafood, but low in meat and dairy products. Mediterranean cuisine encompasses the ways that these and other ingredients, including meat, are dealt with in the kitchen, whether they are health-giving or not.
Geography.
Geography By city and country.
The cookery writer Elizabeth David's introduction to "A Book of Mediterranean Food" (1950) defines her scope as "the cooking of the Mediterranean shores