Step 1: Prepare the Cheesecake Filling

1. In a bowl, beat cream cheese, powdered sugar, and vanilla extract until smooth.
2. Fold in crushed Oreo cookies and mix well.
3. Scoop small portions (about 1 teaspoon each) and roll into small balls.
4. Place on a lined baking sheet and freeze for at least 30 minutes until firm.

Step 2: Prepare the Batter

1. In a mixing bowl, whisk together flour, sugar, baking powder, and salt.
2. In another bowl, whisk milk, egg, and vanilla extract until combined.
3. Gradually mix the wet ingredients into the dry ingredients until a smooth batter forms.

Step 3: Heat the Oil

1. Heat vegetable oil in a deep fryer or heavy-bottomed pot to 350°F (175°C).
2. Make sure the oil is hot enough to fry evenly but not too hot to burn the batter.

Step 4: Coat and Fry the Cheesecake Bites

1. Dip each frozen cheesecake ball into the batter, ensuring full coverage.
2. Carefully drop them into the hot oil, frying 3-4 at a time.
3. Fry for 1-2 minutes per side or until golden brown.
4. Remove with a slotted spoon and drain on a paper towel-lined plate.

Step 5: Garnish and Serve

1. Dust with powdered sugar for a finishing touch.
2. Sprinkle with extra crushed Oreos for added crunch.
3. Serve warm with chocolate sauce, caramel, or whipped cream.