I too have received this email on Sunday (25/06/17) @ 20:38.
This doesn't look to be a hack or a scam. I checked the email header and the supplied address (The AA ) is a valid email for The AA and hasn't been spoofed.
The email contents itself doesn't contain any links and the phone number provided is a valid The AA customer services email.
I also tried to log into my The AA online account online and found that the service is down, as is the password reset service. I also tried ringing the number but it was engaged, no doubt due to a number of people doing the same.
As a number of people have reported the exact same issue, and the lack of malicious content in the emails, we can assume that The AA are experiencing some technical difficulties and that the email sent to a number of users is genuinely from The AA, but sent in error. Probably from some IT work going on over the weekend (I've work in IT for many years, this stuff happens quite a lot). We'll just have to wait until the login\password reset system is back up or until The AA issue a statement on the issue to verify.