Mykonos has no meaningful long-haul infrastructure, which means every itinerary in business class from Minneapolis to Mykonos runs through a major European gateway before a short connecting hop on Aegean Airlines or a partner regional jet. As a factual matter, there is no nonstop service between MSP and JMK, and travelers should expect one connection, most efficiently through Munich or Frankfurt on Lufthansa, London Heathrow on British Airways, or Athens on Aegean Airlines. I've routed this trip both via Munich and via Heathrow, and the Lufthansa option consistently offers the smoother transfer, especially if you can secure a seat in the new Allegris business class now rolling out on select 787 and A350 routes from MSP — though older A340 and 747-8 configurations with the traditional Business Class seat still appear on this pairing, so it's worth checking your aircraft type at booking.
British Airways routes MSP travelers through Heathrow, where Terminal 5's dedicated flight connections center makes the transfer to a Club Suite-equipped A320 or A321neo bound for Athens genuinely painless — Club Suite's direct-aisle access and closing door are a real upgrade over the older Club World cabin, so it's worth confirming which product operates your transatlantic leg. From Athens, the final hop to Mykonos is typically a short Aegean Airlines flight in a standard regional business cabin, more about priority boarding and legroom than lie-flat luxury, so mentally treat it as a coda rather than the main event. My insider tip: book the Athens-Mykonos segment as a separate, flexible fare when possible, since Aegean's island schedules shift seasonally and a locked-in connection can leave you stranded if weather delays hit the Cyclades, which happens more often than airlines advertise.
April, May, September, and October are the sweet spot for this itinerary — shoulder season avoids both the punishing July-August crowds on Mykonos and the premium pricing that peaks alongside them, while still delivering warm, swimmable weather. Given how much fares fluctuate across three carriers and multiple routing options, this is a route where setting up automated fare alerts pays real dividends, letting you catch the inevitable dips on Lufthansa and British Airways before they disappear.