Preheat oven to 400°F. Coat an 8-inch square baking dish with cooking spray. In a large bowl toss bread cubes and asparagus, then spread in the prepared dish. Dot with cream cheese cubes.
In a large bowl whisk eggs, milk, 1/8 tsp. salt and pepper until well combined. Pour egg mixture over bread and asparagus mixture. Cover with foil and bake 30 minutes. Remove foil and bake 15 to 20 more minutes, or until lightly browned and set (160°F).
Toss the greens with the olive oil and 1/8 teaspoon salt. Serve with lemon wedges.