In a bowl, mix the crushed chocolate cookies with melted butter and press into a springform pan. Chill in the fridge for 30 minutes.
In a separate bowl, beat cream cheese, sugar, and vanilla extract until smooth.
Whip heavy cream until stiff peaks form, then fold into the cream cheese mixture.
Divide the batter into three bowls. Mix each with a different type of melted chocolate.
Layer the chocolate mixtures over the crust, starting with semi-sweet, then milk, then white chocolate.
Chill the cheesecake in the fridge for at least 4 hours or overnight before serving.