In a blender, combine the eggs, vanilla, sugar, milk, flour, and butter and blend for 10 seconds. Transfer the crêpe batter to a medium bowl and refrigerate for at least 30 minutes and up to one day to allow the batter to rest and the flour to fully absorb the liquid.
Heat a non-stick skillet and add butter to coat.
Pour approximately ¼ cup of batter into the center of the pan and swirl to spread evenly.
Cook for approximately 2 minutes, then flip and cook for an additional 1 minute. Remove from and repeat until all the batter is gone.
Serve crêpes warm with fresh whipped cream, berries, and a dusting of powdered sugar.