If you want to give this a fancy name, call it a crustless quiche.
Preheat oven to 350 degrees F. Coat a 9-inch deep-dish pie pan (6-cup capacity) with cooking spray. Add breadcrumbs, tilting to coat bottom and sides.
Whisk eggs, milk, hot sauce, salt and pepper in a large bowl. Add bread and stir to coat. Set aside in the refrigerator.
Steam broccoli until just tender, 3 to 4 minutes. Refresh under cold water and drain well. Chop coarsely.
Heat oil in a medium nonstick skillet over medium-high heat. Add onion; cook, stirring often, until softened and light golden, 3 to 5 minutes. Add the onion mixture and broccoli to the egg mixture; stir in cheese. Pour into the prepared pan, spreading evenly.
Bake the pie until light golden and set, 45 to 50 minutes. Let cool slightly, cut into wedges and serve.
Make Ahead Tip: Prepare through step 4. Cover and refrigerate for up to 12 hours.
1/2 starch, 1 vegetable, 1 1/2 medium-fat protein, 1 fat