When I was small, Santa brought everything, the presents, the stockings, even the tree. Then my grandparents would bring more! I don't remember when I stopped believing.
In my husband's family, Santa brought one big present and the parents supplied the rest. This is how we've chosen to proceed. We're not doing the concept of "Santa is watching you and knows if you've been good or bad" (blech), and I think one big present is enough to keep the magic of Santa while accounting for the fact that some kids do get more than others.