French French food used to mean high in fat, with butter as the staple item. Aim for simple dishes with sauces on the side. The more you know about them, the more you can enjoy them. Ask for salad dressing and sauces on the side, too. Phyllo pastry dishes are usually high in butter, so skip them.
Most Greek desserts are high in fat and sugar.
If you want to splurge, split one with a friend. But watch out for fats and oils. Sometimes vegetarian recipes compensate for meatless entrees by adding fat to fill you up. Just avoid those with lots of cheese and avocado. Sesame and coconut oils are the most often-used oils.