Business class on British Airways. British Airways has a mixed history with its business class. It was ground-breaking back in the early 2000s when it introduced the first flat bed. Other airlines have advanced since then, and its Club World product is now somewhat dated. The offering is improving significantly though with its new Club Suite. WARNING: BA has actually refused to give me my suitcase back saying they're too busy.That aside, join me for my journey from New York to London and then on aUn4Y3.