Bilbao's Guggenheim skyline doesn't get the nonstop treatment from Newark that Madrid or Barcelona enjoy, and that's the first thing seasoned flyers need to understand: there is no direct option, so business class from Newark to Bilbao means routing through a European hub, typically London, Madrid, or Frankfurt. British Airways offers the most logical single-connection itinerary via Heathrow, where transferring passengers can experience the Club Suite on the transatlantic leg—a fully enclosed, direct-aisle-access seat that's transformed BA's long-haul product in recent years. Iberia, as the Spanish flag carrier, is the more culturally fitting choice, connecting through Madrid with its A330 or A350 business cabins before a short onward hop to Bilbao's compact, easy-to-navigate airport. Lufthansa routes through Frankfurt, and depending on aircraft assignment, you may find yourself in the newer Allegris business suite, though older 747-8 configurations still fly parts of this network.
Having connected through all three hubs multiple times, my strong recommendation is Madrid for this specific routing—Iberia's own metal means checked luggage transfers smoothly and you avoid the security re-clearance headaches that plague Heathrow connections. If you do route through London, build in at least two hours; T5's business transfer security lines swell unpredictably in summer. Bilbao's airport itself, tucked into the hills outside the city, is refreshingly small—arrivals to city center run about twenty minutes by taxi, and there's rarely a queue.
January through March and October into November are the sweet spot for this itinerary, when Basque Country's shoulder-season calm coincides with softer transatlantic business fares and less competition for the limited Iberia and BA award space. Given the multi-carrier connection complexity, fares on this route fluctuate more than typical nonstop city pairs—setting up automated fare alerts across all three airlines is the smartest way to catch the pricing windows before they close.