Prepare the dish: Butter a 9-by-13-inch baking dish and spread half of the bread cubes across the bottom.
Make the filling: Beat the cream cheese, sugar, and vanilla until smooth. Dollop half of the mixture over the bread, then add half of the raspberries.
Layer: Add the remaining bread and raspberries to the dish.
Whisk the custard: Combine the eggs, milk, cream, cinnamon, and salt. Pour slowly over the bread, pressing down gently so the cubes absorb the liquid.
Chill: Cover and refrigerate for at least 30 minutes or overnight.
Bake: Bake uncovered at 350 degrees Fahrenheit for 45 to 55 minutes, until golden and set in the center.
Rest and serve: Cool for 10 minutes, then finish with powdered sugar and maple syrup.