This is a recurring annoyance with many TV shows and films - that they use stock footage to show airliners and then totally fail to ensure it is the same sort of plane.
Mrs edi-traveller gets really hacked off when I point out that it was a 767 that took off and it is a 737 that lands........
My most recent "spot" was in the Film 28 Days Later. The plane comes into land at London City, the passengers get off using Stansted airbridges, they walk up the corridors of Stansted and then emerge outside London City.....
That's not quite as bad as the changing planes though.....