There's evidence in the Bible and among the Church fathers that supports the papacy.

Ok, let's jump in... Biblical Support for Peter Being the First Pope (earthly leader of the Church): "There is ample evidence in the New Testament that Peter was first in authority among the apostles. Whenever they were named, Peter headed the list (Matt. 10:1-4, Mark 3:16-19, Luke 6:14-16, Acts 1:13); sometimes the apostles were referred to as "Peter and those who were with him" (Luke 9:32). Peter was the one who generally spoke for the apostles (Matt. 18:21, Mark 8:29, Luke 12:41, John 6:68-69), and he figured in many of the most dramatic scenes (Matt. 14:28-32, Matt. 17:24-27, Mark 10:23-28). On Pentecost it was Peter who first preached to the crowds (Acts 2:14-40), and he worked the first healing in the Church age (Acts 3:6-7). It is Peter's faith that will strengthen his brethren (Luke 22:32) and Peter is given Christ"s flock to shepherd (John 21:17). An angel was sent to announce the resurrection to Peter (Mark 16:7), and the risen Christ first appeared to Peter (Luke 24:34). He headed the meeting that elected Matthias to replace Judas (Acts 1:13-26), and he received the first converts (Acts 2:41). He inflicted the first punishment (Acts 5:1-11), and excommunicated the first heretic (Acts 8:18-23). He led the first council in Jerusalem (Acts 15), and announced the first dogmatic decision (Acts 15:7-11). It was to Peter that the revelation came that Gentiles were to be baptized and accepted as Christians (Acts 10:46-48). Peter the Rock Peter's preeminent position among the apostles was symbolized at the very beginning of his relationship with Christ. At their first meeting, Christ told Simon that his name would thereafter be Peter, which translates as "Rock" (John 1:42). The startling thing was that"aside from the single time that Abraham is called a "rock" (Hebrew: Tsur; Aramaic: Kepha) in Isaiah 51:1-2"in the Old Testament only God was called a rock. The word rock was not used as a proper name in the ancient world. If you were to turn to a companion and say, "From now on your name is Asparagus," people would wonder: Why Asparagus? What is the meaning of it? What does it signify? Indeed, why call Simon the fisherman "Rock"? Christ was not given to meaningless gestures, and neither were the Jews as a whole when it came to names. Giving a new name meant that the status of the person was changed, as when Adam's name was changed to Abraham (Gen.17:5), Jacob's to Israel (Gen. 32:28), Eliakim's to Joakim (2 Kgs. 23:34), or the names of the four Hebrew youths"Daniel, Hananiah, Mishael, and Azariah to Belteshazzar, Shadrach, Meshach, and Abednego (Dan. 1:6-7). But no Jew had ever been called "Rock." The Jews would give other names taken from nature, such as Deborah ("bee," Gen. 35:8), and Rachel ("ewe," Gen. 29:16), but never "Rock." In the New Testament James and John were nicknamed Boanerges, meaning "Sons of Thunder," by Christ, but that was never regularly used in place of their original names, and it certainly was not given as a new name. But in the case of Simon-bar-Jonah, his new name Kephas (Greek: Petros) definitely replaced the old. Look at the scene Not only was there significance in Simon being given a new and unusual name, but the place where Jesus solemnly conferred it upon Peter was also important. It happened when "Jesus came into the district of Caesarea Philippi" (Matt. 16:13), a city that Philip the Tetrarch built and named in honor of Caesar Augustus, who had died in A.D. 14. The city lay near cascades in the Jordan River and near a gigantic wall of rock, a wall about 200 feet high and 500 feet long, which is part of the southern foothills of Mount Hermon. The city no longer exists, but its ruins are near the small Arab town of Banias; and at the base of the rock wall may be found what is left of one of the springs that fed the Jordan. It was here that Jesus pointed to Simon and said, "You are Peter" (Matt. 16:18). The significance of the event must have been clear to the other apostles. As devout Jews they knew at once that the location was meant to emphasize the importance of what was being done. None complained of Simon being singled out for this honor; and in the rest of the New Testament he is called by his new name, while James and John remain just James and John, not Boanerges. Promises to Peter When he first saw Simon, "Jesus looked at him, and said, "So you are Simon the son of John? You shall be called Cephas (which means Peter)"" (John 1:42). The word Cephas is merely the transliteration of the Aramaic Kepha into Greek. Later, after Peter and the other disciples had been with Christ for some time, they went to Caesarea Philippi, where Peter made his profession of faith: "You are the Christ, the Son of the living God" (Matt. 16:16). Jesus told him that this truth was specially revealed to him, and then he solemnly reiterated: "And I tell you, you are Peter" (Matt. 16:18). To this was added the promise that the Church would be founded, in some way, on Peter (Matt. 16:18). Then two important things were told the apostle. "Whatever you bind on earth shall be bound in heaven, and whatever you loose on earth shall be loosed in heaven" (Matt. 16:19). Here Peter was singled out for the authority that provides for the forgiveness of sins and the making of disciplinary rules. Later the apostles as a whole would be given similar power [Matt.18:18], but here Peter received it in a special sense. Peter alone was promised something else also: "I will give you the keys of the kingdom of heaven" (Matt. 16:19). In ancient times, keys were the hallmark of authority. A walled city might have one great gate; and that gate had one great lock, worked by one great key. To be given the key to the city"an honor that exists even today, though its import is lost"meant to be given free access to and authority over the city. The city to which Peter was given the keys was the heavenly city itself. This symbolism for authority is used elsewhere in the Bible (Is. 22:22, Rev. 1:18). Finally, after the resurrection, Jesus appeared to his disciples and asked Peter three times, "Do you love me?" (John 21:15-17). In repentance for his threefold denial, Peter gave a threefold affirmation of love. Then Christ, the Good Shepherd (John 10:11, 14), gave Peter the authority he earlier had promised: "Feed my sheep" (John 21:17). This specifically included the other apostles, since Jesus asked Peter, "Do you love me more than these?" (John 21:15), the word "these" referring to the other apostles who were present (John 21:2). Thus was completed the prediction made just before Jesus and his followers went for the last time to the Mount of Olives. Immediately before his denials were predicted, Peter was told, "Simon, Simon, behold, Satan demanded to have you, that he might sift you like wheat, but I have prayed for you that your faith may not fail; and when you have turned again [after the denials], strengthen your brethren" (Luke 22:31-32). It was Peter who Christ prayed would have faith that would not fail and that would be a guide for the others; and his prayer, being perfectly efficacious, was sure to be fulfilled." [1] Sources: 1. http://www.catholic.com...