In a large mixing bowl, beat together softened cream cheese and sweetened condensed milk using a hand mixer on medium speed for 2 minutes until completely smooth and creamy.
Add instant French vanilla pudding mix and whole milk to the cream cheese mixture. Beat on low speed first, then increase to medium and mix for 2 minutes until thickened. Set aside.
Peel and slice bananas into quarter-inch rounds. Hull and slice strawberries lengthwise into quarters or halves.
In a large glass serving dish or trifle bowl, arrange a single layer of vanilla wafer cookies covering the entire bottom.
Layer sliced bananas over the wafers, followed by a layer of sliced strawberries.
Spoon half of the pudding mixture over the fruit and cookies, spreading gently to the edges.
Repeat layering with remaining vanilla wafers, bananas, strawberries, and the rest of the pudding mixture.
Spread the entire container of whipped topping over the final pudding layer. Create swirls or peaks if desired.
Garnish with fresh strawberry slices and banana rounds. Cover tightly with plastic wrap and refrigerate for at least 4 hours, preferably overnight.
Serve cold, scooping down through all layers to get wafers, fruit, and pudding in each serving.