As mentioned, it all started with 'Airport', featuring LHR. Then, it was 'Airline', featuring EasyJet in the UK with stories from Luton and Liverpool.
After that, I believe variations started appearing. There's one called 'Holidays' or something where it featured a Greek airport, but the focus was on a charter holiday company. I can't recall the location, but it's a popular UK holiday spot. 'Holidays' featured a lot of Burberry and track-suit wearing British going on their charter holidays in Greece.
Then, the show reached the US with 'Airline' featuring SouthWest and 'Airport' featuring, MIA, LAX, and ORD. I believe each of the airports has their own series.
P.S. No, I don't watch too much TV.

The only ones I make half an effort to watch are the 'Airport' ones and its variations.