Northern Greece rarely gets the direct-flight treatment American travelers expect, which is precisely why the routing options deserve close study. There is no nonstop service between Atlanta and Thessaloniki, so business class from Atlanta to Thessaloniki always involves a connection, typically through Frankfurt or Munich on Lufthansa, through Istanbul on Turkish Airlines, or through Athens via Aegean Airlines. Total journey time runs around 11.5 hours of flying, though with a connection built in, expect closer to 14-16 hours door to door. Lufthansa's long-haul segment out of Atlanta is often flown on the A340 or 747-8, and depending on aircraft assignment you may encounter the newer Allegris business suite with a closing door, though Lufthansa is still phasing this cabin in across its fleet, so it's worth checking your specific tail number before getting too attached to the idea.
Turkish Airlines via Istanbul is the connection I recommend most often to seasoned business class flyers, largely because Istanbul Airport's Turkish Airlines Lounge is genuinely one of the great business lounges in the world — sprawling, with a live cooking station and even a putting green, making a long layover feel like part of the trip rather than a tax on it. From Istanbul, the short hop to Thessaloniki is typically operated with a mainline narrowbody in a two-class configuration, so don't expect lie-flat seating on that final segment; the lie-flat comfort is reserved for the transatlantic leg. Aegean Airlines, as a Star Alliance partner, offers a smoother same-alliance experience by routing through Athens, with a relatively short intra-Greece connection that suits travelers who want to minimize time in unfamiliar airports. My insider tip: build in at least a 90-minute buffer in Athens if flying Aegean, since ATH's connections between international arrivals and domestic-style Greek departures can require a terminal shuffle that catches first-timers off guard.
April, May, September, and October consistently offer the best combination of fare value and pleasant Aegean weather, avoiding both summer crowds and peak pricing. Given how often award and paid fares shift on this three-airline, single-connection route, setting up fare alerts is the smartest way to catch a favorable window before it closes.