Voldemort escolheu objetos que ele achava que eram importantes o suficiente para a honra, e isso o ligava a sua infância em Hogwarts e seus ancestrais. Dumbledore explica isso em Half Blood Prince.
"His pride, his belief in his own superiority, his determination to carve for himself a startling place in magical history; these things suggest to me that Voldemort would have chosen his Horcruxes with some care, favoring objects worthy of the honour.”
“The diary wasn’t that special.”
“The diary, as you have said yourself, was proof that he was the Heir of Slytherin; I am sure that Voldemort considered it of stupendous importance.”
Ele continua especulando que Voldemort quer relíquias das quatro casas para completar sua coleção.
“I can only guess,” said Dumbledore. “For the reasons I have already given, I believe that Lord Voldemort would prefer objects that, in themselves, have a certain grandeur. I have therefore trawled back through Voldemort’s past to see if I can find evidence that such artifacts have disappeared around him.”
“The locket!” said Harry loudly. “Hufflepuff’s cup!”
“Yes,” said Dumbledore, smiling, “I would be prepared to bet — perhaps not my other hand — but a couple of fingers, that they became Horcruxes three and four. The remaining two, assuming again that he created a total of six, are more of a problem, but I will hazard a guess that, having secured objects from Hufflepuff and Slytherin, he set out to track down objects owned by Gryffindor or Ravenclaw. Four objects from the four founders would, I am sure, have exerted a powerful pull over Voldemort’s imagination. I cannot answer for whether he ever managed to find anything of Ravenclaw’s. I am confident, however, that the only known relic of Gryffindor remains safe.”
Então, sim, Voldemort especificamente procurou as relíquias dos fundadores de Hogwarts para transformá-las em Horcruxes e conseguiu três. Ele só abandonou este plano em seu retorno, criando a Horcrux Nagini no início do Cálice de Fogo.