Bilbao's Guggenheim skyline never gets old, and neither does the ritual of routing through Europe's great hubs to reach it, since no carrier flies nonstop between Florida and the Basque Country. There is no nonstop option for business class from Miami to Bilbao; every itinerary connects, typically through Madrid on Iberia, London Heathrow on British Airways, or Frankfurt/Munich on Lufthansa, with total journey times stretching to 13-15 hours once you factor in the connection. Having flown all three permutations repeatedly, my preference leans toward Iberia's Madrid routing: their A330 and A350 business class seats offer proper direct-aisle-access lie-flats, and Madrid-Barajas' T4S makes for one of Europe's smoother transfers, with Iberia's own lounge a genuine bright spot for a pre-dawn arrival before the short hop to Bilbao's compact, refreshingly hassle-free BIO terminal.
British Airways routes you via Heathrow's Terminal 5, where their newer Club Suite (with sliding doors) is now common on transatlantic MIA-LHR widebodies, though you'll want to confirm aircraft type at booking since older Club World cabins still appear seasonally. Lufthansa's Frankfurt or Munich connections bring their long-haul business product—reliable, if not as private as BA's suite—and their Munich hub in particular offers excellent onward connectivity into Spain via Lufthansa Group partners. My insider tip: book the earliest transatlantic departure from Miami regardless of carrier, since it lands you in Europe with enough buffer to make a same-morning Bilbao connection rather than requiring an overnight, which effectively saves a full travel day on this itinerary.
January through March and again in October and November consistently yield the softest business class fares on this corridor, as Basque tourism dips outside summer and Semana Grande crowds. Given how these connecting itineraries fluctuate across three carriers and multiple hub options, setting up fare alerts is the smartest way to catch a premium seat at real value before it disappears.