Contradiction with Jeremiah 36:24
In contrast to 2 Kings 22:11, where the king humbles himself by tearing his clothes upon hearing the words of the law, this verse describes how the king and his servants were not afraid and did not rend their garments when they heard the words from the scroll.
Jeremiah 36:24: Yet they were not afraid, nor rent their garments, [neither] the king, nor any of his servants that heard all these words.
Contradiction with 2 Chronicles 34:18-19
While this account is parallel to 2 Kings 22:11 and not a contradiction, it interestingly provides no different outcome, indicating a consistent reaction rather than a true contradiction.
2 Chronicles 34:18-19: Then Shaphan the scribe told the king, saying, Hilkiah the priest hath given me a book. And Shaphan read it before the king. [it: Heb. in it]