How many royal houses are there in France with a claim to the defunct throne? If you can give me a post number with this info I would appreciate it.
Based on agnatic primogeniture and religious tests only, the throne of France should be inherited by the most senior Roman Catholic and male descendant in paternal line of King Louis XIV. The first line among Louis XIV's descendants, which included Kings Louis XV, Louis XVI, Louis XVIII, and Charles X became, however, extinct in male line in 1883 with the demise of the last direct agnatic descendant of Louis XV, Henri de Chambord. All remaining agnatic descendants of Louis XIV were/are then descendants of his grandson, Philippe d'Anjou, later King Philip V of Spain. Those lines include the Spanish Bourbons (who also currently occupy the throne of Spain), followed by the Houses of Bourbon-Two Sicilies and Bourbon-Parma.
Under that order of succession, called
Legitimist, the heir to the French throne is Louis Alphonse (Luis Alfonso) de Bourbon, self-styled Duke of Anjou, who is a descendant of King Alfonso XIII of Spain. Although his line is more senior than that of the current King of Spain, D. Felipe VI, he is not King of Spain because his grandfather, Jaime, Duke of Segovia, second son of King Alfonso XIII, renounced his sucession rights (despite later retracting that renunciation), and his father, Alfonso, Duke of Cádiz, agreed to give up his claims in favor of the future King Juan Carlos I, Felipe's father (a rather complicated story, which is not relevant here).
Going back to France, the problem,
however, with the Legitimist line is that, when Philippe d'Anjou became the first Bourbon King of Spain , there was a war, called the War of Spanish Succession, mostly between France/Spain on one side and Great Britain, the Holy Roman Empire (under Habsburg rule) and the Dutch Republic on the other side. That war was settled by a treaty called the Treaty of Utrecht, under which Philip V of Spain renounced all succession rights to the throne of France in his name and in the name of all his future descendants. The treaty was ratified, among others, by the Kings of France and Great Britain. If we assume the Treaty of Utrecht to be valid, then all currently living descendants of Louis XIV are legally excluded from the succession, which must then pass to the next collateral line, which would be the most senior remaining line of agnatic descendants of King Louis XIII who don't descend simultaneously from King Louis XIV. That would be the House of Orléans, who descends from the younger brother of Louis XIV (also an ancestor of the current Jacobite pretenders to the thrones of England and Scotland BTW).
Under that second line of succession, called
Orléanist, the heir to throne would be the head of the House of Orléans, Henri, Count of Paris, who, in the "legitimist" line, would be otherwise only 80th in line. It must be noted, however, that, even if one doesn't accept the validity of the Treaty of Utrecht, there is an argument that, by accepting and retaining the throne of Spain and leaving France for 300 years , Philip V and his descendants incurred in a "flaw of foreignness" (
vice de pérégrinité), which forefeited their dynastic claims to the French throne under the customary law of the Kingdom of France. Most sensible monarchists would agree then that the Orléans are the legitimate legal heirs to the French throne.
Finally, there is a third spurious group of pretenders to the French throne, called "Bonapartists", who claim to be the heirs to the dictator Napoleon Bonaparte, even though Napoleon doesn't actually have any direct living descendants today, and the current Bonapartist pretender, Jean-Christophe, Prince Napoléon, actually descends from a younger brother of Napoleon, Jérôme Bonaparte. The Bonapartists don't actually claim the title of "King of France and Navarre" as the Legitimists, or "King of the French" as the Orléanists (a title briefly assumed by Louis Philippe of Orléans, later King Louis Philippe I, when he usurped the throne from the descendants of Louis XV under the French Revolution of 1830, being later deposed in 1848). Instead, they claim the title of "Emperor of the French", the designation of the head of the regime established by Napoleon Bonaparte after seizing control of the troubled French Republic in a coup d'État.
Since the entity known as the "French Empire" has no legitimacy under the laws of the Kingdom of France and the descendants of the Bonaparte family have no succession rights in that Kingdom, the Bonapartist line should be simply ignored by any
bona fide monarchist.