Make the crepe batter

• Whisk the flour, sugar and salt in a bowl.
• Add the eggs, then pour in the milk gradually while whisking until smooth.
• Stir in the melted butter and vanilla, then let the batter rest.

Cook the crepes

• Heat a lightly buttered frying pan over medium heat.
• Pour a small ladle of batter and swirl to coat the pan thinly.
• Cook each crepe about 1 minute per side, then stack them on a plate.

Whip the Oreo cream

• Whip the cold heavy cream with the powdered sugar until stiff peaks form.
• Fold in most of the crushed Oreo cookies.

Assemble the cake

• Place a crepe on a plate and spread a thin layer of Oreo cream.
• Repeat with the remaining crepes and cream, finishing with a cream layer.
• Top with the reserved crushed Oreos and whole cookies.

Chill and serve

• Refrigerate the cake so it sets and slices cleanly.
• Slice and serve cold.