I noticed yesterday that BA had redesigned their mobile app to make it more glossy.
Flight information is presented on one screen, with the ability to change seats from within the app now provided.
Account information looks the same, although it is banded in gold for my membership level.
Transaction details are shown as they are on the web site:
The ‘Change Your Seat’ selection never worked for me, over several reservations, with the seat map coming through corrupted.
The track a flight functionality worked fine:
Although the phone contact information is inaccurate for a Gold Member as it provides only the general reservations number:
You also have the ability to check the cheapest fares from London, in various classes of services, and this has been redesigned to show images of the cities quoted adjacent to the price.