Contradiction with Matthew 28:19
Contradiction regarding emphasis on baptism which is not mentioned in Acts 28:31.
Matthew 28:19: Go ye therefore, and teach all nations, baptizing them in the name of the Father, and of the Son, and of the Holy Ghost: [teach...: or, make disciples, or, Christians of all nations]
Contradiction with Matthew 6:5
Contradiction about public preaching versus praying in private, as encouraged in Acts 28:31.
Matthew 6:5: And when thou prayest, thou shalt not be as the hypocrites [are]: for they love to pray standing in the synagogues and in the corners of the streets, that they may be seen of men. Verily I say unto you, They have their reward.
Contradiction with John 18:36
Contradiction regarding the nature of God's kingdom; Acts 28:31 discusses it openly, whereas John emphasizes a spiritual kingdom.
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 1 Timothy 2:12
Contradiction on who should preach, Acts 28:31 involves open proclamation while Timothy restricts women from teaching.
1 Timothy 2:12: But I suffer not a woman to teach, nor to usurp authority over the man, but to be in silence.