Contradiction with 2 Kings 24:13
This verse talks about the vessels of the house of the Lord being cut in pieces and taken away, whereas Ezra 5:15 describes returning these vessels to their original place.
2 Kings 24:13: And he carried out thence all the treasures of the house of the LORD, and the treasures of the king's house, and cut in pieces all the vessels of gold which Solomon king of Israel had made in the temple of the LORD, as the LORD had said.
Contradiction with Ezra 1:7-8
These verses describe Cyrus giving back the temple vessels, which may seem redundant since Ezra 5:15 claims it was by decree.
Ezra 1:7-8: Also Cyrus the king brought forth the vessels of the house of the LORD, which Nebuchadnezzar had brought forth out of Jerusalem, and had put them in the house of his gods;
Contradiction with Jeremiah 52:19
This verse lists temple items being carried away to Babylon, contradicting the restoration mentioned in Ezra 5:15.
Jeremiah 52:19: And the basons, and the firepans, and the bowls, and the caldrons, and the candlesticks, and the spoons, and the cups; [that] which [was] of gold [in] gold, and [that] which [was] of silver [in] silver, took the captain of the guard away. [firepans: or, censers]