01 - Preheat oven to 350°F. Line a 9x13-inch baking pan with parchment paper or grease lightly with butter.
02 - In a large bowl, combine yellow cake mix, melted butter, and 1 egg. Mix with a wooden spoon or spatula until a soft, crumbly dough forms.
03 - Transfer dough to prepared pan and press evenly across the bottom using your hands or the back of a measuring cup to create a uniform base layer.
04 - In a separate bowl, beat softened cream cheese with an electric mixer until completely smooth, about 1-2 minutes. Add eggs one at a time, mixing well after each addition.
05 - Add powdered sugar, lemon juice, lemon zest, and vanilla extract to the cream cheese mixture. Beat on medium-high speed until fluffy and completely smooth, about 2 minutes. Scrape down bowl as needed.
06 - Pour the lemon cream cheese mixture over the crust base and spread into an even layer with a spatula. Bake for 35-40 minutes until edges are set and center is slightly jiggly but not liquid—do not overbake.
07 - Let the cake cool completely in the pan, about 1-2 hours. The center will set as it cools. Cut into 12 squares and dust with additional powdered sugar if desired. Serve at room temperature.