Preheat oven to 375°F | 190°C.
In a large, oven-safe skillet, sauté vegetables and protein in olive oil over medium heat until soft. You want between 2 and 3 cups of cooked veggies and protein when everything is done.
In a medium bowl, whisk together 6 eggs & ½ milk. Stir in herbs and spices.
Pour eggs evenly over skillet mixture. (The egg mixture should just barely reach the top of the veggie mix in skillet. If it looks like there aren't enough eggs, go ahead and whisk up another and pour it in.) Sprinkle cheese over top and shake the pan once to settle everything together.
Cook mixture over medium-low heat without stirring for 3 minutes. (I usually poke things around a bit during this step. The basic idea here is that you don't want to stir it and have all that grated cheese settle to the bottom.)
Transfer oven and bake about 30 to 35 minutes, or until a knife inserted in the middle comes out clean. If possible, allow to set for 10-15 minutes before cutting.