In a mixing bowl, combine the 4 large eggs, 1 cup of whole milk, and 1/2 cup of water. Whisk them together until the mixture is smooth.
In a separate bowl, sift together the 1 1/2 cups of all-purpose flour, 1/4 cup of unsweetened cocoa powder, 3 tablespoons of granulated sugar, and 1/4 teaspoon of salt. Gradually add the dry mixture to the wet ingredients while whisking to prevent lumps.
Stir in 1 teaspoon of pure vanilla extract and 3 tablespoons of melted unsalted butter into the batter. Mix until everything is well combined and the batter is smooth. Let it rest for about 30 minutes; this helps relax the gluten in the flour, resulting in tender crêpes.
Heat a non-stick skillet or crêpe pan over medium heat. Lightly grease it with a bit of butter or oil.
Pour about 1/4 cup of batter into the center of the pan. Quickly swirl the pan to spread the batter evenly across the surface. Cook for about 1-2 minutes, or until the edges start to lift and the bottom is set.
Using a spatula, gently flip the crêpe and cook for an additional 30 seconds to 1 minute. Transfer the cooked crêpe to a plate and repeat with the remaining batter, stacking them as you go.
Serve the Chocolate Crêpes warm with your favorite fillings and toppings such as fresh berries, whipped cream, chocolate sauce, or a sprinkle of powdered sugar. Enjoy the rich chocolatey goodness!