As mentioned in my comment I could get nothing as such that could be treated as against the Papal Succession in Bible.
Having said this, the presence of many verses and references in the New Testament indicates 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 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, 17:24-27, Mark 10:23-28). On the Pentecost it was Peter who first preached the crowds (Acts 2:14-40). He worked the first healing in the Church Age (Acts 3:1-7). It is Peter's faith that will strengthen his brethren (Luke 22:31-32).
He led the first council in Jerusalem (Acts 15) and announced the first dogmatic decision (Acts 15: 7-11). It was Peter that the revelation came that Gentiles were to be baptised and accepted as Christians (Acts 10:46-48).
On the contrary Protestant groupsgroups without such a doctrine, display a wide variety of different doctrines and this stems from the doctrine of private judgement, which denies the infallible authority of the Church and claim that each individual is to interpret the scripture for himself which is rejected in 2 Peter 1:20. The doctrine of private judgement has resulted in an enormous number of different denominations. According to the Christian Source book, there are approximately 20-30,000 denominations, with hundreds new ones being formed each year and virtually all of them are Protestant.