Getting from the high desert of Idaho to the whitewashed cliffs of the Cyclades has never been a one-hop affair, and anyone booking business class from Boise to Mykonos should understand upfront that this is fundamentally a three-flight puzzle rather than a single premium product to fall in love with. There is no nonstop service, obviously, given JMK's short runway and seasonal-only operations — the island's airport essentially shuts down long-haul dreams and forces a connection through Athens. The realistic routing is Boise to a major US or European gateway, then onward to Athens on Aegean Airlines, British Airways, or Lufthansa, followed by a short hop on Aegean's A320 family aircraft into Mykonos, where business class is more a matter of priority boarding and a blocked middle seat than a lie-flat experience. The real prize, then, is choosing your long-haul carrier wisely for the transatlantic leg into Athens.
I've routed this trip through Frankfurt on Lufthansa more than once, and their Allegris business class — where available on the Boise-adjacent connections — offers genuine sliding doors and a proper suite feel, though older 747 and A330 configurations still fly plenty of Athens rotations, so check your aircraft type before booking. British Airways via London gives you Club Suite on the 777 and A350 fleet, with direct aisle access on every seat, a meaningful upgrade over BA's older Club World cabins still flying some routes. Aegean itself, as Star Alliance's Greek flag carrier, handles the Athens–Mykonos hop with efficiency, and their business class on that short sector mainly buys you lounge access and faster transfers, which matters enormously given how tight Athens connections can run in July and August.
My insider tip: fly into JMK in shoulder season on the first morning wave from Athens, since afternoon flights face far higher cancellation rates from the notorious Meltemi winds. April, May, September, and October also bring softer fares across all three carriers for the transatlantic segments. Given the multiple carriers and volatile connection pricing on this itinerary, setting up fare alerts is genuinely the smartest way to catch a business class fare worth booking.