Preheat the oven to 325°F (163°C).
Line a 12-cup muffin tin with paper liners. For cleaner edges, use parchment-style liners.
Make the crust: In a bowl, stir together the graham crumbs, sugar, and salt. Pour in the melted butter and mix until the crumbs are evenly moistened and look like wet sand.
Press the crust: Divide the mixture among the liners (about 1 tablespoon per cup).
Press firmly with the bottom of a small glass or measuring cup to create a compact layer.
Par-bake: Bake the crusts for 5–6 minutes until set and slightly deeper in color. Remove from the oven and set aside to cool slightly.
Mix the filling: In a medium bowl, beat the softened cream cheese with a hand mixer until smooth and fluffy, about 1 minute. Add the sugar and beat until creamy and no lumps remain.
Add the Greek yogurt, lemon zest, lemon juice, vanilla, cornstarch, and salt.
Beat on low until just combined and silky. Scrape the bowl as needed.
Beat in the eggs one at a time on low speed. Mix until just incorporated.
Do not overmix; a gentle mix keeps the texture soft.
Fill the cups: Spoon the batter over the warm crusts, filling each liner nearly to the top. Tap the pan gently on the counter to release any bubbles.
Bake for 16–20 minutes, until the centers are mostly set but still slightly jiggly when you nudge the pan. They will finish setting as they cool.
Cool in the pan for 20–30 minutes, then transfer to a wire rack.
Once at room temperature, cover and chill for at least 3 hours, ideally overnight, for the best texture.
Serve: Peel off the liners, top with berries or a little zest, and enjoy. For cleaner edges, serve them well-chilled.