Preheat your oven to 350°F (175°C) and line a mini muffin tin with paper liners.
In a mixing bowl, combine the red velvet cake mix, all-purpose flour, melted butter, egg, and 1/4 teaspoon vanilla extract. Mix until well combined and a dough forms.
Divide the dough evenly among the mini muffin cups, filling each about halfway. Bake for 10-12 minutes, or until a toothpick inserted in the center comes out clean. Allow to cool completely in the pan.
In another bowl, beat the softened cream cheese, powdered sugar, and 1/2 teaspoon vanilla extract until smooth and creamy.
Once the red velvet bites have cooled, carefully remove them from the muffin tin. Using a piping bag or a small spoon, fill each bite with the cream cheese mixture.
Melt the white chocolate chips in the microwave in 30-second intervals, stirring until smooth. Drizzle the melted chocolate over the filled cheesecake bites.
Refrigerate the bites for at least 30 minutes to set before serving.