Umm... It did everything.
Started as a Coastal Command aircraft, got used for transport, training, patrol, communications, banner tug, search and rescue... 161 (Special Duties) Squadron even managed to do a spy drop off and pick-up in occupied France using an Annie I!
Basically, if you were in the RAF in World War II, you'd have seen the Anson everywhere. The USAAF used them, the Canadians built factoryloads of them. Heck. Even the Irish had a few.
Which, in part, was the Anson's downfall. There were simply so many Anson Is that nobody thought to actually save any from the scrap merchants. There are airframes in museums that you can count on one hand. One strange person in New Zealand has recently returned a single example to the air. The Avro XIX (Anson X) is still around in far greater numbers, but that served until well after the war in airline and military service, so they actually reached museums and collections.
Cheers.
Ian P.