Crush the graham crackers to a fine powder in a blender or food processor and add to a medium bowl.
Mix the brown sugar into the graham cracker crumbs and then add the melted butter. Use your hands to mix the butter into the crumbs until a sand-like consistency is created.
Pack the cookie crumb mixture into a 9.5-inch pie plate using the bottom of a measuring cup to press it in well and smooth it out. Press the crumbs from the center, out, and all the way up the sides. Place the pie plate in the freezer while you make the filling.
Filling
Whip the heavy whipping cream and powdered sugar to stiff peaks.
In a separate bowl, whip the softened room-temperature cream cheese, Greek yogurt, and vanilla until smooth and creamy.
Gently fold one-half of the whipped cream into the cream cheese mixture until fully incorporated. Repeat with the remaining whipped cream.
Add the filling to your frozen crust gently. Lift the pie plate off the counter a 1/4 inch and gently drop it a few times to remove large air bubbles. Use a spatula or large spoon to smooth out the top.
Cover the cheesecake with a sheet of plastic or parchment directly on the surface and then cover it in aluminum foil. Refrigerate for at least 6 hours or until the cheesecake sets and is firm to the touch.
Serve the cheesecake as is, or spoon a fruit sauce topping over it before serving. If the crust sticks to the pie plate, wet a dish towel with hot water, squeeze out the excess water, and place the pie plate on top of the towel for a minute to warm and loosen the crust. Enjoy the beauty of this incredible no-fuss dessert before it gets devoured!