In a bowl, combine graham cracker crumbs, sugar, and melted butter until evenly mixed.
Press the mixture into the bottom of a 9-inch springform pan and refrigerate for 15 minutes.
Beat cream cheese, powdered sugar, and vanilla extract until smooth and creamy.
In a separate bowl, whip the heavy cream until stiff peaks form, then fold into the cream cheese mixture.
Spread the filling evenly over the crust and refrigerate for at least 4 hours or overnight.
Top with fresh peach slices before serving.