In a small bowl, combine softened cream cheese and powdered sugar using a hand mixer or whisk until the mixture is smooth and creamy, about 2-3 minutes. Optionally, mix in a splash of vanilla extract.

Spread a generous layer of the cream cheese mixture on one slice of airy bread. Layer sliced strawberries and a spoonful of strawberry jam on top, then press another slice of bread on top to seal.

In a shallow dish, whisk together the eggs and milk until fully combined for a smooth custard-like consistency.

Preheat a non-stick skillet over medium heat and melt a tablespoon of butter. Dip each sandwich into the egg mixture, ensuring all sides are covered.

Place each coated sandwich into the skillet. Fry for 2-3 minutes on each side until golden-brown.

Remove the sandwiches from the skillet and place them on a paper towel-lined plate to drain any excess butter. Dust with powdered sugar while warm.