The role of family is completely opposite in both of these tales. In Beauty and the Beast the family abandons Beauty to live with the Beast in most of the versions of the story. In the De Beaumont version, Beauty is abandoned by her father and forced to live with the Beast so she may save her father’s life.
This is very different than the way family comes to play in the story of Bluebeard where in practically every retelling of the story family of the bride’s come to rescue her from the Beast. Although many of the marriages in Bluebeard are arranged by family, the wives are not left stranded with their husbands such as in Beauty and the Beast.