This Bible contradiction is from the Skeptic's Annotated Bible.
We should obey God rather than men.
Acts 5:29 View context
Then Peter and the [other] apostles answered and said, We ought to obey God rather than men.
We should obey the laws of man.
1 Peter 2:13 View context
Submit yourselves to every ordinance of man for the Lord's sake: whether it be to the king, as supreme;
Romans 13:1-2 View context
Let every soul be subject unto the higher powers. For there is no power but of God: the powers that be are ordained of God.
Whosoever therefore resisteth the power, resisteth the ordinance of God: and they that resist shall receive to themselves damnation.