Adam, Noah, Abraham, Moses and David are prominent examples. Genealogy was important to the Jews because it proved that God was fathering His family throughout all the ages and in all the difficulties and all the crises down through history. When Christ came the family expanded, all nations were called to an equal standing as sons and daughters of God in His family. For this reason I kneel before the Father, from whom every family in heaven and on earth is named. Jesus gave Peter the Keys to the Kingdom.
Individual parishes have their priest fathers.
God does not want his people to be fatherless. The priesthood is spiritual fatherhood. St Thomas Aquinas speaks of the priesthood as spiritual paternity. Priests are called fathers because that is what they are. To father means to communicate human life and human nature.