Follow the strawberry and orange ice cream recipes to make a batch of ice cream (yield: 1.5 pints). You will most likely need to make the strawberry ice cream a day in advance since many ice cream maker's freezing bowls takes a day to freeze before making another batch of ice cream.
Place the Oreo cookies into a plastic bag and crush to a fine crumble, set 2 tablespoons of the crumble aside.
In a mixing bowl, combine butter and cookie crumble until evenly mixed.
Line a 9-inch square freezer-safe dish with parchment paper.
Transfer the cookie mixture into the dish and press down firmly into an even layer. Freeze for 10 minutes.
Top the cookie crumble with strawberry ice cream; distribute into an even layer. Then, freeze for 2 hours.
Then, top with orange ice cream and distribute into an even layer. Sprinkle on set aside Oreo crumbles. Then, freeze for 2 hours.
Dip a sharp knife into hot water to cut the cake into slices. Serve with sliced strawberries, freeze-dried strawberry crumble, and Oreo crumbles.