2 great songs that meet your criteria you dismissed right out the gate. You're entitled to your opinion, but "Meet the Parents" and "Minority Report" are both great 3rd person narrative songs.
Add "A Ballad For The Fallen Soldier" to that list also (though it's not a great song, it is good, it isn't about Jay, and it has a powerful message).
Also his first verse on Renegade is largely 3rd person narrative. Sure he speaks in 1st person a few times, but so does Nas in "Doo Rags", so does KRS in "Love's Gonna Getcha Down". "I Used To Love Her" is all told from a 1st person perspective, with just a derivative twist at the end of "Her" being rap/hip-hop. I don't think it's fair to act like that is on a completely different level than Meet the Parents, and I think Meet the Parents is just as good if not better than all the songs listed, it's an allegory, sure he tells a story of a father abandoning his son and then literally killing him in the end cause he doesn't recognize him, but it's also a metaphor for the damage done by fathers leaving their kids, it's not nearly as simple as just the father literally killing his son. That's a FAR more powerful message than "I Used To Love Her". Now of course you can come in and disagree with my post and try to discredit Jay's greatness because you disagree, but that's simply a biased inaccurate take on the matter, cause Jay has powerful storytelling songs/verses from a 3rd person perspective.