take the manchester leg out as its a waste of a sector, Business does not exist either - its all economy

Instead you can get a train from London to Manchester in 1hr50minutes, then you only need to get the flight from Heathrow to Madrid - make sure this is on BA, unless Iberia have suddenly upped their game and i dont know about it...

Also, make sure the QF flights are on the A380.

Your "BA7347" is actually a Quantas internal flight, not BA.

Im sure a lot of people here will tell you which AA flights to take as their travel classes differ depending on the aircraft type.