In a bowl, combine sliced strawberries and granulated sugar. Let them sit for about 10 minutes to macerate.
In another bowl, mix the softened cream cheese and vanilla extract until smooth and creamy.
Spread the cream cheese mixture evenly on two slices of bread. Top with the macerated strawberries, then place the remaining slices of bread on top to create sandwiches.
In a shallow dish, combine flour, baking powder, and salt. In another bowl, whisk together eggs and milk.
Dip each sandwich first into the flour mixture, then into the egg mixture, and finally coat with crushed graham crackers.
In a deep skillet or frying pan, heat about 1 inch of vegetable oil over medium heat. Once hot, carefully add the sandwiches, frying until golden brown on both sides (about 2-3 minutes per side).
Remove the sandwiches and place them on paper towels to drain excess oil. Dust with powdered sugar before serving.