Preheat the oven to 450 degrees. Lightly grease and flour a 9x13-inch pan.
To make the crust: Place the flour, sugar, and salt in a large bowl or food processor fitted with a steel blade and mix to combine. Add the vanilla and butter, a little at a time, and mix until it resembles cornmeal. Press into the prepared baking pan and transfer to the oven. Bake until slightly golden but not brown, about 12 to 15 minutes. Set aside to cool.
Lower the oven temperature to 400 degrees.
To make the filling: Place the cream cheese, sugar, and vanilla in the bowl of a mixer fitted with a paddle and beat until creamy. Add the egg, mix to combine, an pour over the cooled crust.
Place the sugar and cinnamon in a small bowl and mix to combine.
Place the apples on top of the filling in two or three columns. Sprinkle with the cinnamon sugar and transfer to the oven. Bake until firm and a rich brown, about 20 minutes. Cut into 20 to 24 pieces.