First, make the brown butter. Add butter to a saucepan and place over high heat. Leave the butter to melt, then cook for about 2 - 3 minutes over high heat, shaking the pan from time to time until the butter becomes light brown and has a nutty aroma.TipThe brown butter makes these crepes nutty and special. However, feel free to skip this step and use melted unsalted butter instead.
make the Crêpes batter
In a bowl whisk to combine all-purpose flour, sugar, a pinch of salt, vanilla, eggs, and melted butter (slightly cool). Add 2 - 3 tablespoons of milk. Whisk to get a thick mixture, then add 1/3 of the milk and whisk to get a smooth mixture. Pour in the rest of the milk and whisk into a runny, smooth mixture. Feel free to use a blender for this step.TipOptionally set the mixture aside for 10 minutes. This will help the crêpes to cook easier.
make the crêpes
Place a crêpe pan or a regular non-stick pan over medium heat. When the pan is hot, grease with butter, then pour in the batter. For a 20 cm (8-inch) pan, add about 1/4 cup of batter. Tilt and twirl the pan so the batter spreads evenly. Cook for a minute, then flip the crepe and cook for another 30 seconds or so. Transfer to a plate and continue cooking the rest of the crepes, making sure to grease the pan between each crepe. Serve with your favorite filling.