There's no shortcut from Bradley International to the Cyclades, and that's precisely what makes routing strategy the whole game when booking business class from Hartford to Mykonos. No airline flies this pairing directly — the truth is every itinerary funnels through a European or transatlantic hub, with total journey time (including connections) typically running well beyond the roughly 11-hour flying time you'd expect from a nonstop. The three realistic carriers are Aegean (A3), Lufthansa (LH), and British Airways (BA), each offering a distinct connecting strategy and hard product.
My preference after years flying this corridor is routing via Munich or Frankfurt on Lufthansa, where you can experience the airline's newer Allegris business class if your aircraft assignment cooperates — check the specific 787 or A350 rotation before booking, since older 747 or A340 business seating still appears on some Frankfurt departures. British Airways routes through London, and while Heathrow Terminal 5's connection process is smooth for oneworld itineraries, their Club Suite (with the sliding door) is only guaranteed on certain long-haul aircraft, so confirm equipment at booking. Aegean, as the Star Alliance carrier actually based in Greece, is the smart final-leg choice from Athens to Mykonos — their short-haul business cabin is simple but the airport experience in Athens, with its manageable connections and Aegean's own lounge, is worth building your itinerary around rather than treating as an afterthought.
Shoulder season — April, May, September, and October — is when this routing truly shines, both for calmer Mykonos weather and for award and premium cash availability that dries up completely by July. An insider habit of mine: book the Athens-to-Mykonos hop as a separate short-haul segment when transatlantic business fares spike, since decoupling occasionally undercuts the bundled fare significantly. Given how few seats each hub route allocates to business class on this itinerary, setting fare alerts for Hartford-to-Mykonos business fares is the only way to catch the pricing windows before they close.