Preheat your oven to 425°F (220°C). Place a 10-inch cast-iron skillet or oven-safe skillet in the oven while it preheats.
In a large mixing bowl, whisk together the eggs, flour, milk, sugar, vanilla extract, and salt until well combined. The batter should be smooth and free of lumps.
Carefully remove the hot skillet from the oven and add the butter. Swirl the skillet to ensure the butter coats the bottom and sides evenly, allowing it to melt completely.
Pour the batter into the hot skillet. The butter will sizzle and create a beautiful golden crust.
Place the skillet back in the oven and bake for approximately 20-25 minutes, or until the Dutch Baby is puffed up and golden brown.
Once done, remove the skillet from the oven and let the Dutch Baby cool for a few minutes. It will deflate slightly, which is normal.
Serve the Dutch Baby warm, either directly from the skillet or transfer it onto a serving platter. Dust it with powdered sugar and top it with your favorite fruits, such as berries or sliced bananas, for an extra burst of flavor.