Preheat the oven to 350°F (175°C) and grease a 9x13-inch baking dish.

Cut the brioche bread into bite-sized cubes and place half in the prepared baking dish.

Slice or cube the cream cheese and scatter over the first layer of bread.

Add the remaining brioche cubes, arranging them evenly.

In a mixing bowl, whisk together the eggs, milk, heavy cream, granulated sugar, brown sugar, vanilla extract, ground cinnamon, and salt until smooth.

Pour the custard mixture over the bread layers and gently press down.

Cover with plastic wrap and refrigerate for at least 2 hours or overnight.

Uncover the dish, drizzle melted butter on top, and bake for 45 to 50 minutes until golden brown.

Let cool for about 10 minutes before serving.