In a mixing bowl, whisk together flour, sugar, and a pinch of salt.
In another bowl, whisk together eggs, milk, melted butter, and vanilla extract.
Gradually add the wet ingredients to the dry ingredients, whisking until smooth.
Heat a non-stick skillet over medium heat. Pour in a small amount of batter, swirling to coat the bottom of the pan.
Cook until the edges start to lift, then flip and cook the other side. Repeat with remaining batter.
For the cream filling, whip the heavy cream with sugar and vanilla extract until stiff peaks form.
To assemble, layer the crepes with a thin layer of cream filling in between each crepe.
Chill the cake in the refrigerator for at least 2 hours before serving.