I haven't been on one as "Azamara"...but I was on a sister ship--the Oceania Nautica, summer before last in the Mediterranean...
I think there are seven of these ships in all currently sailing under American-based cruise lines--Oceania has three, Princess two and Azamara two...They were all originally owned by the old Renaissance Cruise Lines--which went under a few years back...
the ship was nicely laid out and comfortably roomy with 684 passengers at full double occupancy in 30,000 gross tons...
Cabins are all approximately 160 sf...a little smaller than the Celebrity M-Class standard cabins, but nicely laid out.
being a smakller ship, it lacks some of the amenities of the larger ships:
There is no kids program (some may look at this as a plus...but we did have some kids on our cruise and they could have used something to do)
They also do not have a big showroom with stage facilities...So entertainment is noticeably stripped down.
Other amenities--casino, pool area, spa are all, as would be expected, quite small--of course serving about a third of the passengers of the bigger ships...
I'm not sure if Azamara handles it differently, but, with Oceania, we had much shorter hours in the much smaller buffet...
As to where the ships could go, there are some ports, especially in Europe, that lend themselves to the smaller ships--Ours docked in Kotor and Amalfi for example...but a lot of the ports are the same--people still want to visit Athens and Santorini and Istanbul...
With so few passengers and limited entertainment, the ship got very quiet very early each evening...
A nice cruise, but I still prefer the larger M-Class and better entertainment and activity...