So you believe that there are many portions of scripture that only pertain to the bishops and popes, but not your average believer?
Yes there are definitely some passages that pertain only to St.Peter (Christ's first Vicar or head of His Church and his successors) and some that pertain to only ST.Peter and the Apostles (and their successors..bishops).
St.Matt. 16:18-19 and St.John 21:14-17 come to mind. In St.Matt., Christ promised Peter the primacy of jurisdiction over His whole Church. This supreme authority is given to Peter for the benefit of the Church. Becasue the Church has to last until the end of the world, this authority will be passed on to Peter's successors down through history. The Bishop of Rome, the Pope is the successor of Peter.
And I say to thee: That thou art Peter; and upon this rock, I will build my church, and the gates of Hell shall not prevail against it. 19 And I will give to thee the keys of the kingdom of heaven. And whatsoever thou shalt bind upon earth, it shall be bound also in heaven: and whatsoever thou shalt loose upon earth, it shall be loosed also in heaven.
Through the nouns and pronouns, we see these passages pertain only to Peter. When Christ says to Peter, "you are Peter and upon this rock, I will build my Church..", He promises that Peter is to be the natural foundation of His Church after His death. Christ remains the Eternal Rock by His own power and authority, and for this reason Peter is not His successor, but His Vicar on earth.
The second metaphor of the keys there is signified that supreme ecclesiastical power is promised only to Peter who will become His Vicar.
Under the third metaphor his two-fold power of binding and loosening, supreme ruling authority is indicated.
And in St.John, After Jesus' Death and Resurrection, Our Lord conferred the primacy upon Peter alone the jurisdiction of supreme pastor, shepherd and rector over His entire Fold (Church).
This is now the third time that Jesus was manifested to his disciples, after he was risen from the dead.  When therefore they had dined, Jesus saith to Simon Peter: Simon son of John, lovest thou me more than these? He saith to him: Yea, Lord, thou knowest that I love thee. He saith to him: Feed my lambs.
 He saith to him again: Simon, son of John, lovest thou me? He saith to him: Yea, Lord, thou knowest that I love thee. He saith to him: Feed my lambs.  He said to him the third time: Simon, son of John, lovest thou me? Peter was grieved, because he had said to him the third time: Lovest thou me? And he said to him: Lord, thou knowest all things: thou knowest that I love thee. He said to him: Feed my sheep.  Amen, amen I say to thee, when thou wast younger, thou didst gird thyself, and didst walk where thou wouldst. But when thou shalt be old, thou shalt stretch forth thy hands, and another shall gird thee, and lead thee whither thou wouldst not.  And this he said, signifying by what death he should glorify God. And when he had said this, he saith to him: Follow me.
To feed my sheep, is the same as to rule church, the flock of Christ, with the threefold power of teaching, ruling and sanctifying and that's illustrated in the parable of the Good Shepherd. The 4th part record's Christ's prophecy of Peter's martyrdom. Peter will suffer in the likeness of the Good Shepherd who gives his life for his sheep.
Later on, in St.Matt. 18:18 all the Apostles will receive together the promise to bind and loose with Divine authority, thereby becoming partakers in one of the promises made to Peter, but they do not receive the keys to the kingdom.
Then for Peter alone, there is St.Luke 22:32, Our Lord said to Simon Peter, "but I have prayed for you that your faith may not fail; and when you have turned again, strengthen your brethren."
I think this is a biggy because Our Lord had previously told Peter He was gooing to give him an especially important mission among the Apostles...that of being the rock foundation of the Church He would found. Here, when His death approaches and He has instituted the Sacrifice of the New Testament, our Lord renews His promise to give him the primacy, Peter's faith, despite his fall, cannot fail because it's supported by the efficacious prayer of Our Lord Himself.
Our Lord's prayer waseffective in respect not only to St.Peter, but also to his successors. Their faith will not fail. This indefectibility of the faith of the Bishop of rome, the Pope, the successor of St.Peter, is guaranteed by the charism of infallibility. which the Divine Redeemer wished in defining doctrine pertaining only in faith and morals when as supreme ecclesiastical pastor and teacher who confirms his brethren in the faith.