Although seemingly an Arab character, Omar Baba is somewhat based on the Greek Cypriot entrepreneur Stelios Haji-Ioannou, founder of budget airline EasyJet. His appearance is similar to Stelios (balding, overweight, monobrow) and one of the jokes satirizes the fact his shipping magnate father gave him £30 million to start his business empire. Omar's strategy of cutting corners to provide low cost flights satirizes the business practices that European budget airlines such as Ryanair have been found guilty of and the name of his airline FlyLo is a takeoff of Flybe (it uses the same font in its logo).
Come fly with me and Little Britain have many connections to Doctor Who, the narrators of the afor mentioned shows wer Tom Baker and Lindsay Duncan, who played the 4th Doctor (1974-81) and Adelaide Brooke (2009) also Matt Lucas and David Walliams have also both appeared in Doctor Who, David Walliams in The God Complex (2011) and Matt Lucas in The Husbands of River Song (2015). Also, a character in Come Fly with me is named 'Penny Carter', also there is a character called Penny Carter in Doctor Who in the episode Partners in Crime (2008)