There's no nonstop option for business class from Birmingham to Gothenburg, and that single fact shapes every decision you'll make on this route: travelers from Alabama's Birmingham-Shuttlesworth International will connect through a European hub, with SAS via Copenhagen, Lufthansa via Frankfurt or Munich, and KLM via Amsterdam representing the three viable carriers. I've routed through all three gateways repeatedly, and my preference tilts toward SAS's Copenhagen connection—not just because it's SAS's home turf with tighter, more reliable transfer windows, but because the short Copenhagen-to-Gothenburg hop on their A320neo business cabin feels like a natural extension of the Scandinavian experience rather than a bolt-on afterthought. Lufthansa's Frankfurt routing gives you a shot at their long-haul business class (and increasingly their new Allegris cabin on select aircraft, though availability on Birmingham-originating itineraries remains inconsistent), while KLM's Amsterdam connection benefits from Schiphol's efficient single-terminal transfers, minimizing the anxiety of tight layovers after a transatlantic crossing.
The real insider move here is booking the transatlantic segment with enough buffer at your European hub—two hours minimum—because irregular operations on the Birmingham end (weather delays are common in the Southeast US during summer thunderstorm season) can cascade into missed connections, and none of these three alliances have same-day recovery options as robust as what you'd find at a true US mega-hub. I've found that flying into Frankfurt or Amsterdam on the earliest available transatlantic departure, rather than chasing the "convenient" midday option, dramatically reduces this risk. Business class lounges at Frankfurt (Lufthansa's First Class Terminal aside) and Amsterdam's KLM Crown Lounges are worth arriving early for regardless, since the pace of a long layover becomes part of the journey rather than dead time.
Late spring through early autumn—May through September—consistently offers the best combination of fare value and schedule reliability on this corridor, as Scandinavian carriers ramp up capacity for the tourist season and connection reliability improves with better weather on both continents. Given how thin premium cabin allocations can be on these connecting itineraries, I'd strongly recommend setting up fare alerts to track business class pricing across all three carriers rather than manually checking each airline's site.