There is no nonstop path connecting Kansas City to Bilbao, so the routing itself becomes part of the strategic decision, and in my experience the most reliable business class from Kansas City to Bilbao itinerary runs through either Madrid via Iberia, London via British Airways, or Frankfurt/Munich via Lufthansa. Iberia's transatlantic hop typically uses its A330 or A350 fleet with fully flat seats in a 1-2-1 configuration into Madrid, followed by a short Iberia regional connection down to Bilbao — a routing I favor because it clears Spanish immigration in Madrid rather than forcing a rushed connection later. British Airways routes travelers through London Heathrow, where Club Suite (their door-equipped, staggered 1-2-1 business seat rolled out progressively across the 777 and A350 fleet) offers genuine privacy on the long transatlantic leg before a short hop down to Bilbao operated by a BA or Iberia partner flight. Lufthansa's option funnels through Frankfurt or Munich, and depending on aircraft assignment you may find their newer Allegris cabin, though on this specific corridor legacy long-haul business seats are still common, so it's worth checking equipment before booking.
Having flown all three routings multiple times, my strongest insider tip is to build in at least a two-hour buffer in Madrid or Frankfurt during winter months, since European ground delays from fog and de-icing procedures are far more common January through March than travelers expect — precisely the same window when fares on this route tend to soften. That seasonal overlap is worth noting: January, February, March, and again October and November consistently produce the softest business class pricing on the Kansas City–Bilbao corridor, largely because European leisure demand dips outside summer and Basque Country business travel stays modest year-round.
Bilbao's airport itself is compact and efficient, so arrival logistics are rarely the issue — it's the transatlantic leg's routing and timing that determines whether your trip feels seamless or exhausting. Given how much fares fluctuate month to month on this three-carrier, one-stop route, setting up automated fare alerts is genuinely the smartest way to catch a premium seat before prices firm up again.