Prep: Preheat oven to 400°F. Generously butter a deep half pan. Spread 1 French bread, cut into 1–2" cubes evenly in the pan.
Make custard: Blend 3 eggs, 2 egg yolks, 1 cups condensed milk, 1 cups evaporated milk, 1 cups whole milk, 1 cups heavy whipping cream, 0.5 cups sugar, and 1 teaspoons vanilla bean powder together with an immersion blender until smooth.
Assemble: Pour custard over bread, pressing down so every piece absorbs the liquid. Scatter 1 cups white chocolate morsels over the top and gently stir in.
Rest: Cover tightly with foil and let sit for 30 minutes
Bake: Bake covered for 60 minutes checking at the 30-minute mark. Done when custard is fully set through the center.