Contradiction with 1 Chronicles 3:2
1 Chronicles 3:2 also lists Absalom as the son of Maacah, the daughter of Talmai king of Geshur, agreeing with 2 Samuel 3:3, thus does not provide a contradiction.
1 Chronicles 3:2: The third, Absalom the son of Maachah the daughter of Talmai king of Geshur: the fourth, Adonijah the son of Haggith:
Contradiction with Deuteronomy 7:3
Deuteronomy 7:3 warns against intermarriage with foreign nations, which may contradict David marrying Maacah, a foreign king's daughter, though it's not a direct contradiction of 2 Samuel 3:3 regarding their offspring.
Deuteronomy 7:3: Neither shalt thou make marriages with them; thy daughter thou shalt not give unto his son, nor his daughter shalt thou take unto thy son.
Contradiction with 1 Kings 11:1-2
1 Kings 11:1-2 speaks of Solomon's foreign wives turning his heart away, which could reflect disapproval similar to David's alliance with Geshur through Maacah; however, it does not directly contradict the fact stated in 2 Samuel 3:3.
1 Kings 11:1-2: But king Solomon loved many strange women, together with the daughter of Pharaoh, women of the Moabites, Ammonites, Edomites, Zidonians, [and] Hittites; [together...: or, beside]
Contradiction with Ezekiel 16:3
Ezekiel 16:3 metaphorically describes Israel's origins and is not directly related to 2 Samuel 3:3.
Ezekiel 16:3: And say, Thus saith the Lord GOD unto Jerusalem; Thy birth and thy nativity [is] of the land of Canaan; thy father [was] an Amorite, and thy mother an Hittite. [birth: Heb. cutting out, or, habitation]