In a large bowl, mix the whipped topping, sour cream, and pudding mix until blended. Fold in pineapple.
Line the bottom of a 9x13 baking dish (or a large platter) with graham crackers.
Spread 1/3 of the pudding mixture over the crackers and top with banana slices. Repeat layers, ending with the pudding mixture. Cover and refrigerate for at least 8 hours or overnight, which is best. Graham crackers should be soft.
Before serving, top with additional bananas and strawberries and drizzle with chocolate syrup.
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