Follow these simple steps to make perfect Crispy and Creamy Doughnuts:

1. Prepare the Dough:

1. Activate the Yeast: In a small bowl, combine the warm milk and sugar. Sprinkle the active dry yeast on top and stir to dissolve. Let it sit for about 5-10 minutes until it becomes frothy and bubbly. This step ensures that the yeast is active and will help the dough rise properly.
2. Mix the Wet Ingredients: In a large bowl, whisk the eggs, melted butter, and vanilla extract together. Add the frothy yeast mixture into the bowl and stir to combine.
3. Add Dry Ingredients: Gradually add the flour and salt to the wet mixture, stirring until it forms a soft dough. Once the dough starts coming together, transfer it to a clean surface.
4. Knead the Dough: Knead the dough for about 5-7 minutes until it becomes smooth and elastic. If the dough is too sticky, add a little extra flour, but be careful not to add too much, as this can result in dense doughnuts.
5. Let the Dough Rise: Place the kneaded dough in a lightly greased bowl and cover it with a clean kitchen towel. Let the dough rise in a warm place for about 1 hour, or until it doubles in size.

2. Shape the Doughnuts:

1. Roll Out the Dough: Once the dough has risen, punch it down to release any air bubbles. On a floured surface, roll out the dough to about ½-inch thickness.
2. Cut Out the Doughnuts: Use a doughnut cutter or two round cookie cutters (one larger for the outer shape and one smaller for the hole) to cut out doughnuts. Gather any scraps, re-roll the dough, and continue cutting until all the dough is used.
3. Let the Doughnuts Rest: Place the cut doughnuts on a floured baking sheet. Cover them with a clean kitchen towel and let them rest for another 30 minutes to rise.

3. Fry the Doughnuts:

1. Heat the Oil: While the doughnuts are resting, heat the vegetable oil in a deep fryer or large pot to 350°F (175°C). Make sure there’s enough oil to submerge the doughnuts fully.
2. Fry the Doughnuts: Carefully drop the doughnuts into the hot oil, one or two at a time, depending on the size of your pot. Fry the doughnuts for about 3-4 minutes, turning them halfway through to ensure they brown evenly on both sides.
3. Drain the Doughnuts: Once the doughnuts are golden brown, use a slotted spoon to remove them from the oil. Place them on a paper towel-lined tray to drain excess oil.

4. Glaze and Serve:

1. Make the Glaze: While the doughnuts are cooling slightly, whisk together powdered sugar, milk (or water), vanilla extract, and a pinch of salt in a small bowl until smooth. Adjust the consistency by adding more milk if necessary.
2. Glaze the Doughnuts: Dip the top of each doughnut into the glaze, letting any excess glaze drip off. For extra decoration, add sprinkles, food coloring, or chocolate chips while the glaze is still wet.
3. Serve: Allow the doughnuts to set for a few minutes, then serve warm or at room temperature.