In a mixing bowl, combine the cookie crumbs with melted butter. Press into the bottom and up the sides of an 8 or 9-inch springform pan.
For the chocolate cheesecake layer, in a bowl, using an electric mixer, whip together the cream cheese and sugar.
In a small microwave-safe bowl, melt the chocolate chips and butter together in 30-second intervals, stirring after each interval until just melted.
Fold the melted chocolate into the cream cheese mixture.
Fold in the whipped topping, then spread it gently into the bottom of the pan.
For the vanilla cheesecake layer, using an electric mixer, whip together the cream cheese, sugar, and vanilla extract.
Fold in the whipped topping, then spread it on top of the chocolate layer.
For the strawberry cheesecake layer, using the electric mixer, whip together the sugar, cream cheese, and Jell-O mix until well combined.
Fold in the whipped topping, then gently spread it on top.
Set in the freezer for at least 4 hours before slicing and serving!