Aside from the Capets, Valois or Bourbons, are there any royal houses that could inherit and rule France? Bonus if it's not one of the most prominent houses. So no Habsburg. 
Aside from the Capets, Valois or Bourbons, are there any royal houses that could inherit and rule France? Bonus if it's not one of the most prominent houses. So no Habsburg.![]()
Aside from the Capets, Valois or Bourbons, are there any royal houses that could inherit and rule France? Bonus if it's not one of the most prominent houses. So no Habsburg.![]()
House of Evreux,which is another Capetian cadet house,but I'm mentioning them since you seem to classify cadet houses separate than the parent one.
If we go to Early Middle Ages, then...The Merovingians!
Actually they're not. The principle of continuity is quite clear there.Technically they are separate houses.
It's essentially an historiographical device, mainly existing because these branches fought each other for the crown.After all we consider the Plantagenets, Lancasters and Yorks separate houses,
Outside Capetians (meaning we not only get rid of Valois, Bourbons; but as well Courtenay, Bourbon-Condé, Bourgogne, etc.)?
Bosonids may have formed a dynasty, would have Robertian line failed; with Hugh the Black being a possible successor (while unlikely otherwise).
Likewise, having Vermandois obtaining the dukedom of Franks may have helped them.
That said, they needed Carolingians to give them such, so it would mean at least for a while a longer Carolingian presence.
With an even earlier Robertian failure, maybe that Girardides could replace them? It seems implausible even as I'm writting it.
After the Xth, it really became hard to have likely candidates outside Capetians and Carolingians (and I'm really pushing the "likely" part with the latter).
Eventually Capetian dynasty expanded so importantly that you'd probably have to bet on Capetian branches rather than a different house (as said, Bourbon-Condé, for exemple).
Plantagenets are a no-go, for already aformentioned reasons. But that can be said of every important French noble house, that had few if any chance to topple Capetians after the Xth.
Vermandois were Carolingians on the male line.