Mykonos rarely appears on the same sentence as "nonstop long-haul business class," and for good reason: there is no direct routing from Southern California to this particular Cycladic island. Every itinerary in business class from Los Angeles to Mykonos requires a strategic layover, and after logging this connection more times than I can count, I can say the two smartest options are routing through Munich or Frankfurt on Lufthansa, or via London Heathrow on British Airways, before catching an Aegean Airlines connection down to JMK. That final Aegean leg is operated with a standard European narrowbody, so the real business class experience happens on the transatlantic sector — Lufthansa's Allegris business suites on select 787 and A350 routes offer a notable upgrade over the airline's older long-haul cabins, while British Airways' Club Suite, with its sliding door and direct aisle access, remains one of the most consistent premium products flying out of LAX's Tom Bradley International Terminal.
Having flown this corridor through both hubs, I'd steer travelers toward the Munich or Heathrow routing over Frankfurt when possible, simply because connection times to Athens or Mykonos tend to be more forgiving, and Lufthansa's Munich hub has become noticeably smoother post-renovation. One insider tip worth noting: book the Aegean connection as a separate ticket only if you're comfortable with self-transfer risk — most seasoned flyers keep it on a single itinerary through Star Alliance or Oneworld partners so misconnections are covered, since Mykonos-bound flights from Athens can be sparse outside peak summer months. Arrival timing matters too; landing in Athens before noon gives you the best shot at same-day onward connections to the island, as Aegean thins its Mykonos schedule considerably after the September crowds depart.
April, May, September, and October consistently deliver the best business class fares on this route, since airlines price the shoulder seasons well below the June-through-August surge when Mykonos becomes Europe's most expensive island destination. Given how much these fares fluctuate week to week across three different carriers and multiple hub options, setting up automated fare tracking for Los Angeles to Mykonos business class is the most reliable way to catch a genuine pricing anomaly before it disappears.