In Scotland every new baby is gifted a baby box by our government
In America, every new baby comes in a box.
Actually, when you have a baby in the Hospital, here in the states, you are provided with a gift box that comes with diapers, various baby formulas to try, coupons and other small item including the thing to remove snot from the baby's nose.
With the exception of the "snot remover", most are provided by manufacturers to try to get you to purchase their products.
One thing they do at one of the hospitals near me, the last night you are there, the hospital provides a meal for both new parents to enjoy together. In New Haven, Connecticut, St. Raphael's provided,as a selection, steak and lobster. it is actually quite nice.