Malmo's Sturup Airport is a modest gateway, which is precisely why nobody flying from Ohio does it nonstop — and why the routing you choose matters more than usual. There is no direct service between Columbus and Malmo, so business class from Columbus to Malmo always involves at least one connection, typically through Amsterdam, Frankfurt, or Copenhagen, with a short onward hop into MMX or a scenic train transfer across the Øresund Bridge from Copenhagen Kastrup. I've routed this trip both ways, and the KLM connection via Amsterdam tends to be the smoothest for luggage and timing, while SAS via Copenhagen offers the most culturally logical arrival, since Malmo is essentially a Copenhagen suburb across the water.
Each of the three carriers serving this corridor brings a genuinely different long-haul product. KLM's World Business Class on the 787 or A330 features flat-bed seats with direct aisle access on most configurations, paired with reliably good Dutch efficiency at Schiphol for tight connections. Lufthansa flies its evolving Allegris cabin on select 787 and A350 routes out of Frankfurt, which means seat quality can vary by aircraft — worth checking your specific tail number before booking. SAS, as the closest thing to a "home team" carrier for Scandinavia, offers its Business class with fully flat seats on transatlantic widebodies, and their Copenhagen hub is arguably the most convenient for the final leg into Malmo given the bridge transfer option.
My insider tip: if you're connecting through Copenhagen, skip the SAS codeshare flight into Malmo entirely and take the train instead — it's faster door-to-door and avoids a puddle-jumper that often gets bumped for weather. Summer, from May through September, brings both better weather for that Copenhagen-Malmo transfer and softer business class fares as Scandinavian carriers compete harder for transatlantic traffic. Given how fare-sensitive this three-airline, one-stop routing is, setting up automated price tracking for Columbus to Malmo business class fares will save you from chasing this manually every week.