I am a Diamond, almost Plus, member and cross regularly on RCCL's larger ships and the QM2. I decided to cross the Atlantic on the Independence of the Seas rather than the Navigator, my favorite ship, because it was a first time crossing for this ship and I thought it would be fun seeing all the new stuff RCCL has put on this basically English market outfitted ship.
The Independence is very large but so well designed that you do not notice the large numbers of people. It is a new ship with large flat screen TV's and unique to the Independence, a very good hot water kettle in the room with tea and coffee. I do wish RCCL would put such a quality kettle in all the rooms on their ships.
I had a rear facing D1 balcony cabin which was just wonderful. The same size as most D1 cabins, the rear facing cabins have, generally, a balcony three time the size of traditional balconies. I was on the 10th floor and right next to me were two wonderful regular RCCL travelers from Florida. We enjoyed talking a lot on that crossing.