In a medium bowl, mix the softened cream cheese, powdered sugar, and vanilla extract until smooth. Gently fold in the sliced strawberries.
Spread the strawberry cheesecake mixture evenly on two slices of bread, then top with the remaining slices to create sandwiches.
In three separate shallow dishes, place the flour in one, whisk the egg and milk together in another, and put the breadcrumbs in the third.
Heat about 1 inch of vegetable oil in a large skillet over medium heat.
Dip each sandwich first into the flour, then into the egg mixture, and finally coat with breadcrumbs.
Carefully place the sandwiches in the hot oil and fry for about 2-3 minutes on each side, or until golden brown and crispy.
Remove the sandwiches from the oil and drain on paper towels. Dust with additional powdered sugar before serving.