Preheat your oven to 350°F.
Melt the ½ cup of butter by microwaving it in a microwave-safe bowl, using 30-second increments until fully melted.
In a mixing bowl, combine the graham cracker crumbs, melted butter, and ¼ cup of the granulated sugar. Stir until the mixture resembles wet sand.
Press the graham cracker mixture firmly into the bottom of an 8x8 inch square pan to form the crust. Bake the crust at 350°F for 10 minutes.
Remove the pan from the oven and allow the crust to cool completely.
In a large mixing bowl, beat the softened cream cheese until smooth and creamy.
Add the remaining ¾ cup of sugar, eggs, lemon zest, lemon juice, and vanilla extract to the cream cheese. Mix until well combined and smooth.
Pour the cream cheese mixture over the cooled crust and spread it out evenly with a spatula.
Bake at 350°F for 25-30 minutes, or until the cheesecake is set but still slightly jiggly in the center.
Allow the cheesecake to cool completely in the pan, then chill in the refrigerator for 6-8 hours or overnight to set fully.
Once chilled, cut the cheesecake into squares. If desired, top each bar with a dollop of whipped cream and a slice of lemon before serving.
Enjoy your refreshing Lemon Cheesecake Bars!