If you’ve got an American Airlines AAdvantage account, you can earn 500 easy AA miles by updating your personal details at this website. (EDIT: link deleted as now dead)
The deadline for completing it is February 28th.
However …. read the small print before you do it. You are basically giving American Airlines and their marketing partner permission to sell your personal information to every Tom, Dick and Harry they can find. You cannot opt out of this.
Personally, I am not so desperate for 500 AA miles to do this. You might be, though!
How to earn American Airlines miles from UK credit cards (September 2023)
American Airlines no longer has its own UK credit card.
There is, however, still a way to earn American Airlines miles from a UK credit card.
The route is via Marriott Bonvoy. Marriott Bonvoy hotel loyalty points convert to American Airlines miles at the rate of 3:1.
The best way to earn Marriott Bonvoy points is via the official Marriott Bonvoy American Express card. It comes with 20,000 points for signing up and 2 points for every £1 you spend. At 2 Bonvoy points per £1, you are earning (at 3:1) 0.66 American Airlines miles per £1 spent on the card.
You can apply here.