In a bowl, combine graham cracker crumbs and melted butter. Mix until evenly moistened.
Press the mixture firmly into the bottom of a 9-inch springform pan. Chill while you make the filling.
In a large bowl, beat cream cheese until smooth. Add Greek yogurt, honey (or maple syrup), and vanilla extract. Beat until creamy and well combined.
Pour the filling over the crust and smooth the top.
Refrigerate for at least 4 hours, or until set.
Top with fresh fruit or berry compote before serving, if desired.