Creating Vanilla French Beignets is straightforward if you follow these steps:

1. Activate Yeast: In a small bowl, combine warm water and yeast. Let it sit for about 5 minutes until foamy.
2. Mix Ingredients: In a large mixing bowl, whisk together sugar, salt, eggs, milk, and melted butter. Add the foamy yeast mixture.
3. Combine Dry Ingredients: Gradually add flour to the wet mixture, mixing until a dough forms. Stir in vanilla extract.
4. Knead the Dough: On a floured surface, knead the dough for about 5 minutes until smooth and elastic.
5. Let it Rise: Place the dough in a greased bowl, cover with a cloth, and let it rise in a warm place for about 1 hour or until doubled in size.
6. Roll Out the Dough: After rising, roll the dough out on a floured surface to about ½ inch thick. Cut into squares or rectangles.
7. Heat Oil: In a deep pan or fryer, heat vegetable oil to 360°F (182°C).
8. Fry Beignets: Carefully place the dough pieces in the oil, frying in batches for about 2-3 minutes on each side until golden brown.
9. Drain Excess Oil: Remove beignets from the oil and place them on paper towels to drain.
10. Dust with Powdered Sugar: While still warm, generously dust the beignets with powdered sugar before serving.

These simple steps will guide you through the process of making delicious Vanilla French Beignets.