There's no nonstop path connecting Palm Beach County to the Cycladic hills of Mykonos, which is precisely why routing strategy matters more on this itinerary than almost any transatlantic journey I cover. Business class from West Palm Beach to Mykonos requires a transfer through a major European gateway, since JMK's small airport only accepts short-haul turboprops and regional jets from within Greece and nearby hubs — meaning your long-haul comfort has to be secured on the PBI-to-Europe leg, with a connection onward via Athens on Aegean Airlines. The two most sensible constructs are routing through London on British Airways, using their Club Suite with direct aisle access from every seat on the 777 or A350, then connecting to Athens and finally Mykonos on Aegean's A320s; or flying via Frankfurt or Munich on Lufthansa, where Allegris-configured aircraft (still being phased in fleet-wide) offer some of the most private business suites in the sky when you can secure that specific aircraft type. Aegean itself doesn't operate widebody service, so its role here is purely the short intra-Greek hop, typically in a comfortable but standard regional business cabin.
My insider tip, gathered from years of booking this exact corridor: fly into Athens with enough buffer — at least three hours — to clear the connection into Mykonos, because summer weather delays and the sheer congestion of Athens International's domestic terminal during peak Cycladic season can unravel tight itineraries. Arrive at PBI itself with your usual efficiency, since it's a boutique airport with minimal lines, but plan your international leg's timing around your connecting city's rush hour, particularly Frankfurt in early morning.
Seasonally, April, May, September, and October reward patient travelers with the best business class value on this run, as airlines reposition capacity ahead of and after the July-August surge into the Greek islands, and Mykonos itself is far more pleasant without peak crowds. Given the multi-carrier complexity and fluctuating premium demand into Athens, setting up automated fare alerts for this specific PBI–JMK corridor is the smartest way to catch the pricing windows before they close.