Instructions: Preheat Oven: Preheat your oven to 325°F (160°C). Grease a 9-inch springform pan and set it aside.
Make Crust: In a medium bowl, combine graham cracker crumbs, 1/3 cup granulated sugar, and melted butter.
Prepare Filling: Add eggs, one at a time, beating well after each addition. Mix in lime juice, lime zest, and vanilla extract until well combined.
Bake: Place the pan in the oven and bake for 50-55 minutes, or until the edges are set but the center still jiggles slightly when shaken.
Cool: Once baked, turn off the oven and leave the cheesecake inside with the door slightly ajar for about an hour to cool gradually.
Serve: Before serving, remove the cheesecake from the springform pan and transfer it to a serving platter.