One Good Priest

Maybe the Catholic church don't go out of the way to encourage people to read their Bibles because the evidence is pretty conclusive about priests post-Jesus:

Hebrews 4:15
For we do not have a high priest who is unable to sympathize with our weaknesses, but we have one who has been tempted in every way, just as we are—yet was without sin.

Hebrews 6:20
where Jesus, who went before us, has entered on our behalf. He has become a high priest forever, in the order of Melchizedek.

Hebrews 7:11
If perfection could have been attained through the Levitical priesthood (for on the basis of it the law was given to the people), why was there still need for another priest to come—one in the order of Melchizedek, not in the order of Aaron?

Hebrews 7:16
..one who has become a priest not on the basis of a regulation as to his ancestry but on the basis of the power of an indestructible life.

Hebrews 7:26
Such a high priest meets our need—one who is holy, blameless, pure, set apart from sinners, exalted above the heavens.

Hebrews 7:27
Unlike the other high priests, he does not need to offer sacrifices day after day, first for his own sins, and then for the sins of the people. He sacrificed for their sins once for all when he offered himself.

Hebrews 7:28
For the law appoints as high priests men who are weak; but the oath, which came after the law, appointed the Son, who has been made perfect forever.

In short, Jesus replaced earthly priests. They became null and void because we no longer need an earthly go-between to relate to God, since Jesus bridged that gap for all time, once and for all.