A “liste de naissance” is an e-card (or paper card or a web page) in which you actually write a list of items or potentially gifts that you find usefull for your baby.

It’s meant to be given to your family and relatives in order to avoid any duplicate gifts.

Edit :
Amazon seems to have a service that allows you to build such a list with the Amazon store items. It’s like making a shopping cart full of items that you share to your relatives in order that they will buy it for your baby.