Four airlines cover this corridor well. American's Flagship Business gets you a lie-flat suite in 1-2-1 configuration with Casper bedding and Flagship Lounge access at PHL, a solid pick if you're connecting through London Heathrow onward to Billund. British Airways' Club Suite adds a closing door for genuine privacy, plus White Company bedding — it's become one of the better business products out of London and pairs naturally with a same-terminal connection to a Scandinavian or European carrier's Billund hop. Lufthansa's Allegris Business, rolled out on their A350s, brings a genuinely upgraded lie-flat suite with the kind of methodical, well-organized service Lufthansa is known for, and Frankfurt is an efficient connecting point given Lufthansa's dense short-haul network within Germany and toward Denmark. Delta One Suite, meanwhile, gives you a closing door and Tumi amenity kits on the transatlantic segment via Amsterdam, with Delta's joint venture partners handling onward connections smoothly. All four are legitimate 1-2-1 lie-flat products — the differences come down to door privacy (BA and Delta have doors, American and Lufthansa are open suites), bedding brand, and which hub connection best matches your Billund timing.