Contradiction with John 8:32
Acts 28:20 mentions the hope of Israel and Paul being bound, whereas John 8:32 speaks of the truth bringing freedom.
John 8:32: And ye shall know the truth, and the truth shall make you free.
Contradiction with Galatians 5:1
Paul in Acts 28:20 is bound by a chain, which contradicts the idea of standing in the liberty mentioned in Galatians 5:1.
Galatians 5:1: Stand fast therefore in the liberty wherewith Christ hath made us free, and be not entangled again with the yoke of bondage.
Contradiction with 2 Corinthians 3:17
Acts 28:20 describes Paul's captivity, while 2 Corinthians 3:17 states where the Spirit of the Lord is, there is liberty.
2 Corinthians 3:17: Now the Lord is that Spirit: and where the Spirit of the Lord [is], there [is] liberty.
Contradiction with John 18:36
In Acts 28:20, Paul discusses the hope of Israel while being bound, contradicting Jesus' claim in John 18:36 that His kingdom is not of this world, implying spiritual rather than physical bondage.
John 18:36: Jesus answered, My kingdom is not of this world: if my kingdom were of this world, then would my servants fight, that I should not be delivered to the Jews: but now is my kingdom not from hence.
Contradiction with Romans 8:2
Acts 28:20 shows Paul physically bound, whereas Romans 8:2 speaks of the law of the Spirit of life freeing one from sin and death.
Romans 8:2: For the law of the Spirit of life in Christ Jesus hath made me free from the law of sin and death.