Only the Airedale and the Australian Terrier are in the Terrier group in the UK. There is also an Australian Silky Terrier but this is actually in the Toy group.
Other breeds beginning with A:
Afghan Hound
Azawakh
American Cocker Spaniel
Akita
Alaskan Malamute
Anatolian Shepherd Dog
Australian CattleDog
Australian Shepherd
Affenpinscher
Some people also still use the name Alsatian although the correct name is German Shepherd Dog (Alsatian).
There are also several breeds beginning with 'American' such as American Staffordshire Bull Terrier and American Pitbull Terrier, and others that are not recognised in the UK.
The Aberdeen Terrier is rarely called that nowadays, it is called the Scottish Terrier.