There's no nonstop path connecting Indianapolis to Leeds, and after two decades of routing clients through this corridor, I've come to appreciate that the connection itself is where the real decision happens. Business class from Indianapolis to Leeds requires a transatlantic hop through a major hub, since Leeds Bradford Airport has no widebody capability, meaning your premium experience will be concentrated on the long-haul segment rather than the regional feeder. Delta, American, and United all serve this corridor effectively, typically routing through their respective transatlantic gateways—Delta via Amsterdam or Paris using KLM/Air France metal on certain itineraries, American via London Heathrow or Philadelphia on their Flagship Business product with the reverse-herringbone seat, and United through Newark or Chicago with Polaris business class, which offers direct aisle access on most widebody configurations. My own preference leans toward United's Polaris seat for the sleep quality on the long overnight legs, though American's Flagship Suites on select 777s now include closing doors, a genuine upgrade if you can secure that specific aircraft.
The insider detail most travelers miss: booking the regional connection from your hub city to Leeds Bradford separately, on a partner regional carrier, can sometimes yield better positioning and shorter layovers than the airline's own through-ticketed itinerary, since LBA slot availability is limited and airlines don't always prioritize tight connections there. Arrive at your connecting hub with buffer time in winter months, as Leeds Bradford's runway and approach can be weather-sensitive, and I've seen January arrivals diverted to Manchester with coach transfers arranged. Speaking of winter, January through March—and again in October and November—consistently produce the softest fares on this route, as leisure demand to Yorkshire dips outside summer and the Christmas markets season.
Given the multiple routing options and hub variability, fares on this Indianapolis–Leeds corridor fluctuate more than typical single-connection routes, so setting up automated fare alerts to track pricing across all three carriers' hub strategies will save you from overpaying for what is, ultimately, a two-segment journey dressed up as one.