I used to flew quite often with IBeria Airlines (Spanish airlines) and
they used to play a beautiful Guitar instrumental piece everytime the
plane landed, maybe to put passengers at ease and to relax during the
last moments of flight.

I'd like to know the artist, album and piece they played, so as to get
it for my CD collection.

This was during years 2000-2004.

you have to ask Iberia...
but like is about an spanish airline, it can be flamenco.