Why does everyone forget the short stories? They're not full novels, but 'Tom Clancy's Op-Center: Scorched Earth' features Jr. and fits in the timeline. For the novels alone, stick to publication order after 2010. The continuity between authors like Mike Maden, Marc Cameron, and Grant Blackwood is maintained pretty well, with each book referencing the last. 'Command Authority' directly sets up 'Full Force and Effect', for example. It's a military thriller series, not 'Dark Souls', but the timeline has consequences.
Honestly, just use Goodreads. Search for 'Jack Ryan Jr.' series, and the list will come up with all the books in the correct series order, often with user reviews that tell you which ones are worth your time. The crowd-sourced data on that site is more than adequate for solving this. Half these comments are just rehashing what's already meticulously catalogued there.
Anyone else feel like the series found its voice with 'Threat Vector'? The first few were finding their footing after Clancy's passing. 'Threat Vector' and 'Command Authority' have that perfect blend of detailed procedure and globe-trotting action. So the reading order is worth it just to get to that peak. The build-up makes the payoff better. The later books are good too, but that middle stretch is the sweet spot for me.