Mykonos has no direct commercial service from the American South, so anyone booking business class from Memphis to Mykonos is really booking two journeys stitched together: the transatlantic hop and the Greek island connection. There is no nonstop option, full stop — that's the essential fact worth knowing before you start pricing tickets. My preferred routing threads Memphis through a major hub via Lufthansa, connecting onward through Munich or Frankfurt, then down into Athens before a short hop to JMK on Aegean Airlines, Greece's flag carrier and a genuinely underrated partner for the final leg. Alternatively, British Airways via London Heathrow offers a smoother single-connection option to Athens, with Aegean again handling the island transfer.
Lufthansa's Allegris business class, now rolling out on select long-haul aircraft, is worth seeking out specifically — the suite doors and adjustable privacy panels make the eight-hour transatlantic stretch feel considerably shorter than the schedule suggests. If Allegris isn't on your specific aircraft, Lufthansa's older business product remains comfortable but lacks that same seclusion. British Airways' Club Suite, with its sliding door and direct aisle access from every seat, is my go-to when routing through Heathrow, particularly on the 777 and A350 fleets now standard on the New York and Boston runs feeding into Memphis connections. The insider move here: book the MEM–hub segment and hub–Athens segment on the same ticket whenever possible, since Aegean's JMK hop is often only released as saver business inventory a few months out, and having it locked into one itinerary protects you if that inventory disappears.
April, May, September, and October aren't just pleasant weather windows on Mykonos — they're also when premium cabin award and revenue space loosens up across all three carriers, before and after the brutal July–August crush. Given how fluid business class pricing is on this itinerary, setting up fare alerts for the Memphis–Mykonos corridor is the smartest way to catch these shoulder-season windows before they close.