Prepare the cheesecake layer: In a bowl, beat the softened cream cheese and sugar until smooth. Gradually beat in the heavy cream and vanilla extract until well combined.
Spread the cheesecake mixture evenly into the bottom of a 9x13 inch baking dish.
Prepare the strawberry gelatin: In a bowl, dissolve the strawberry gelatin in boiling water according to package directions. Stir in cold water and chill until slightly thickened but not set.
Gently pour the thickened strawberry gelatin over the cheesecake layer. Refrigerate for at least 30 minutes, or until the strawberry layer is firm to the touch.
Prepare the lime and berry blue gelatin layers: In separate bowls, dissolve the lime and berry blue gelatins in boiling water according to package directions. Stir in cold water. Let them cool to room temperature.
Fold the whipped cream into the cooled lime gelatin until just combined. Pour this mixture over the set strawberry layer. Refrigerate until firm.
Once the lime layer is firm, gently pour the berry blue gelatin over it. Refrigerate for at least 2-3 hours, or until completely set.
Cut into squares and serve. Garnish with fresh berries if desired.
Notes
For best results, ensure each layer is fully set before adding the next to prevent them from mixing.