Let's be precise about geography before we get lofty about legroom: there's no such city pairing that makes sense as a nonstop, because Birmingham here refers to Birmingham, England (BHX), not Alabama, and no carrier flies a widebody out of Louisville International (SDF) at all. That means business class from Louisville to Birmingham is, in practice, an itinerary built entirely on domestic-to-international connections, routed through a major U.S. gateway before crossing the Atlantic. Delta, American, and United all serve this corridor, but the real business class experience only begins once you reach hubs like Atlanta, New York-JFK, or Chicago O'Hare, where you transfer onto their transatlantic widebody products.
Having routed this connection numerous times for clients, I favor Delta through Atlanta or JFK, where Delta One suites—fully enclosed on the 767, A330, and A350 fleets—offer sliding privacy doors and direct aisle access, a meaningful upgrade over the older Boeing configurations still occasionally rotated onto secondary European routes. American's routing through Philadelphia or Chicago into London Heathrow, followed by a short regional connection to Birmingham, works well if you can snag their Flagship Suite on the 777-300ER, though you'll want to build in a minimum 90-minute connection window at LHR given Terminal 3's occasional congestion. United, meanwhile, channels traffic through Newark or Washington Dulles, where its Polaris seats on the 767 and 777 fleets remain a reliable, if less flashy, option.
The insider move here is booking the transatlantic leg to land at Heathrow rather than Manchester, then taking the train into Birmingham—it's often smoother than fighting for tight regional connections at smaller UK airports, especially in winter when fog delays regional turboprops more than mainline jets. January through March and October into November consistently produce the softest fares and the most award availability in these business cabins, as leisure demand dips before and after summer peak season. Given how fragmented this itinerary is across three carriers and multiple routing options, setting up automated fare alerts is the smartest way to catch a rare sweet spot before it disappears.