There is no nonstop path linking Ohio's north coast to the Cyclades, which means every seasoned traveler booking business class from Cleveland to Mykonos accepts that the itinerary is really about choosing the right connection, not just the right seat. In practice this means routing through Frankfurt or Munich on Lufthansa, through London Heathrow on British Airways, or via Athens on Aegean Airlines, since Mykonos itself only accepts short-haul aircraft and no long-haul carrier flies there directly. The most reliable long-haul segment is Cleveland to a European hub, followed by a shorter connection down to JMK, and the total journey time hovers around eleven hours of actual flying once you factor in the transatlantic leg.
I've routed this trip through all three carriers, and each has a distinct personality. Lufthansa's new Allegris business class, now rolling out on select 787 and A350 routes from the US, offers sliding privacy doors and more configuration variety than the airline has ever had, though availability from Cleveland's Lufthansa partner flights can be inconsistent, so it's worth checking which aircraft type is assigned before booking. British Airways runs its Club Suite on many transatlantic routes out of the Northeast, giving you direct aisle access and a proper door, which makes the Heathrow connection into Athens or a short hop onward to Mykonos far more bearable after an overnight flight. Aegean Airlines, meanwhile, handles the final leg into Mykonos and doesn't operate widebody business class, so treat that segment as a comfortable regional hop rather than part of your long-haul experience — the real luxury happens on the transatlantic sector.
My insider tip: fly into Athens with a few hours' buffer rather than tight-connecting straight to Mykonos, since Aegean's island flights are notoriously weather- and slot-sensitive in high summer, and a missed connection during July or August chaos is far costlier than losing an afternoon in Athens. Shoulder season — April, May, September, and October — brings both calmer skies and softer business class demand on the transatlantic legs. Given how much these fares swing by aircraft assignment and hub choice, setting up fare alerts for this specific routing is the smartest move before you commit to dates.