There's no elegant nonstop solution linking Cleveland to the sun-bleached fortress walls of Rhodes Old Town, and after routing this journey a dozen different ways over the years, I've settled on a firm conviction: business class from Cleveland to Rhodes rewards patience and a well-chosen connection far more than it rewards chasing the fewest layovers. The practical answer is that travelers combine a transatlantic carrier with either Aegean Airlines or a European hub carrier for the final Athens-to-Rhodes hop, since no airline flies this route directly. Lufthansa's Munich or Frankfurt connections work beautifully here, particularly if you can snag their new Allegris business seats on the transatlantic leg — a product with sliding privacy doors and considerably more personal space than the older long-haul cabins still flying on some routings. British Airways, meanwhile, funnels CLE-originating passengers through Heathrow, where Club Suite's direct-aisle-access seats on the 777 and A350 fleets make the eight-hour Atlantic crossing feel genuinely restorative before you continue onward.
The smartest itinerary I've built repeatedly pairs a Star Alliance transatlantic segment with Aegean Airlines for the Athens-Rhodes finale — Aegean's short intra-Greek hop is business class in name and boarding priority more than lie-flat hardware, but it's a pleasant, professional cabin that gets you to Rhodes without the indignity of squeezing through Athens' domestic terminal chaos with the masses. Arrive into Athens with at least two hours of connection buffer; the transfer between international and domestic gates, especially during peak Greek summer, chews up more time than schedules suggest. My insider tip: book the Rhodes leg as a separate Aegean ticket only if your fare rules allow protected connections, because a misconnect here means you're stuck overnight in Athens with limited rebooking options during high season.
April, May, September, and October remain the sweet spot — the Aegean light is softer, the crowds thinner, and business class availability on the transatlantic legs noticeably better than the July-August crush when European leisure travel peaks. Given how these fares fluctuate with fuel surcharges and seasonal demand shifts on both the Lufthansa and British Airways sides, setting up automated fare alerts is genuinely the smartest move you can make before committing to a specific routing.