In a medium bowl, beat the softened cream cheese, powdered sugar, and vanilla extract until smooth.
Spread a generous layer of the cream cheese mixture onto four slices of brioche bread.
Place sliced strawberries over the cream cheese and top with the remaining bread slices to create four sandwiches.
In a shallow bowl, whisk the eggs and milk together until well combined.
In a separate shallow dish, mix the granulated sugar and ground cinnamon.
Heat the vegetable oil in a heavy-bottomed skillet to 350 degrees Fahrenheit.
Carefully dip each sandwich into the egg and milk mixture, ensuring both sides are coated but not oversaturated.
Fry the sandwiches in the hot oil for 2 to 3 minutes per side until golden brown.
Remove the sandwiches from the oil using a slotted spatula and immediately coat them in the cinnamon-sugar mixture.
Serve immediately while warm.