Preheat the oven to 350 degrees F (175 degrees C). Grease a 13x9-inch baking pan.

Combine yellow cake mix, 2 eggs, butter, and vanilla in a large bowl; mix well. The batter will be stiff. Add cake batter to the prepared pan and spread evenly.

Combine confectioners' sugar, cream cheese, and the remaining 2 eggs in a separate bowl; mix well and pour over the top of the cake batter.

Bake cake in the preheated oven until set around the edges, just beginning to pull away from the sides, and slightly jiggly in the center, about 35 minutes.

Let cake cool completely before you cut it to achieve those delicious layers.