Cork's compact terminal has quietly become one of my favorite arrival points in Europe, precisely because reaching it in comfort requires a bit of strategic routing that most travelers overlook. There is no nonstop option for business class from Jacksonville to Cork, so the real decision lies in choosing your connecting hub wisely: Delta routes travelers through Atlanta and onward to a European gateway, American Airlines works best via Charlotte or Philadelphia into its transatlantic network, and United's strength is funneling JAX passengers through Newark or Chicago before the long-haul leg to Europe. Whichever carrier you choose, expect a total journey time of roughly 8 hours in the air once you're on the transatlantic segment, with the domestic connection adding a few more.
Having flown all three of these itineraries repeatedly, I've come to appreciate Delta's Delta One suites on its A330 and A350 widebodies for the transatlantic hop—sliding doors and genuine lie-flat comfort make the overnight arrival into Dublin or Shannon (where you'd then connect onward to Cork, since none of these carriers fly directly into ORK) far more tolerable. American's Flagship Suite on select 777 and 787 aircraft is another strong choice, particularly if your routing takes you through Philadelphia, a hub with generally smoother connection times than the bigger New York gateways. United's Polaris seats, especially on the 767 and 787 fleets out of Newark, round out a solid trio of options, though I'd avoid tight connections through Chicago in winter given lake-effect snow delays.
One insider tip: because Cork itself isn't served directly by any of these three airlines, book your connecting European leg with enough buffer to catch a regional flight or short drive from Dublin or Shannon—many travelers underestimate this final leg. January through March and October into November consistently offer the softest business class fares on this corridor, as demand dips outside summer's peak. Given the multi-carrier, multi-hub complexity of this route, setting up fare alerts is genuinely the smartest way to catch a well-priced business class seat before it disappears.