Legoland's headquarters city isn't exactly a household name in premium travel circles, but Billund deserves more attention from business travelers, and getting there in comfort from Omaha requires some strategic routing through Europe's finest hubs. There's no nonstop option, of course—business class from Omaha to Billund always routes through at least one major connection, with Copenhagen via Chicago or Newark on SAS being the most sensible path for anyone loyal to Star Alliance, while Lufthansa via Frankfurt or Munich and KLM via Amsterdam offer equally credible alternatives depending on your mileage strategy. SAS deploys its A350 business class on transatlantic legs, featuring fully flat seats with direct aisle access, and the short Copenhagen-to-Billund hop (about 45 minutes) is typically flown on a regional aircraft, so don't expect premium cabin service on that final segment—treat it as a formality rather than part of the luxury experience.
Having flown this corridor numerous times, my strong preference is routing through Frankfurt on Lufthansa when their Allegris business product is on the aircraft, since the seating privacy and suite-style configuration make the long Omaha-to-Frankfurt haul far more bearable than older configurations still flying on some KLM and SAS aircraft. If you connect through Amsterdam on KLM, their World Business Class on the 787 or A330 is comfortable but shows its age compared to newer competitors, so it's worth checking your aircraft type at booking. One insider tip that rarely gets mentioned: Billund's airport is small and efficient, but immigration lines at your European connecting hub (especially Frankfurt and Amsterdam in peak summer) can eat 45 minutes or more, so build in buffer time rather than booking a tight connection to that final Billund leg.
Summer—May through September—brings the best combination of fare availability and schedule reliability on this route, coinciding with peak Legoland season and Danish business travel to Jutland's manufacturing corridor. Given the routing complexity and multiple carrier options, setting up fare alerts for Omaha-to-Billund business class is genuinely the smartest move, since award space and premium cash fares on these connections fluctuate more than travelers expect.