In a medium bowl, mix the softened cream cheese, sugar, and vanilla extract until smooth.

Gently fold in the chopped strawberries.

Roll each slice of bread flat using a rolling pin.

Spoon a tablespoon of the cheesecake filling onto one side of the bread slice, then fold it over and press the edges to seal. You can use a fork to crimp the edges closed.

In a shallow bowl, whisk together the egg and milk.

Dip each sandwich first in flour, then into the egg mixture, and finally into the graham cracker crumbs (if using).

Heat oil in a frying pan over medium heat.

Fry the sandwiches for 1–2 minutes per side, or until golden brown and crispy.

Remove and drain on paper towels.

Dust with powdered sugar and serve warm with extra strawberries or whipped cream.