The Kuchiki family: the head of the four nobles, the model of all Shinigami, responsible for maintaining and enforcing the rules of Soul Society

The Shifengin family: God-given weapons and equipment, representing Successor to the responsibility of commanding the criminal army

The Shiba family: hunted by the four major families, has declined, and is now exiled in Rukongai

There is also a legend that Kurosaki... But I’m not sure, almost all manga in Japan will leave some suspense

Personally, I feel that Ukitake is very similar