Preheat your oven to 325°F (163°C).
In a medium bowl, combine the graham cracker crumbs, melted unsalted butter, and 1 ½ tablespoons of granulated sugar. Mix until the crumbs resemble wet sand.
Evenly distribute the crust mixture into the cups of your muffin tin, pressing down firmly to create a solid base.
Place the muffin tin in the preheated oven and bake for about 5-7 minutes, or until the edges are lightly golden.
In a large mixing bowl, beat the softened cream cheese with an electric mixer until smooth and creamy. Gradually add ¾ cup of granulated sugar, mixing until well combined.
Add the sour cream, 1 ¼ teaspoons of vanilla extract, and eggs (one at a time) to the cream cheese mixture. Beat until just combined.
Pour the cheesecake filling over the prepared crusts, filling each cup about ¾ full.
Bake for 18-20 minutes, or until the centers are set but slightly jiggly. Remove from the oven and let cool in the pan for 10 minutes.
Transfer the mini cheesecakes to the refrigerator and let them chill for at least 2 hours (or overnight for best results).
Once chilled, carefully remove the mini cheesecakes from the muffin tin. Top with whipped cream and fresh fruit if desired.