We are very experienced travellers and have done a number of cruises, including with Celebrity. This June we sailed with Infinity up to Iceland. This was the end of 3 months of travel which began with a transatlantic on Holland America' Niew Amsterdam. Two ships of similar size and rating gave us a good point of comparison. Forget Infinity - pick Niew Amsterdam hands down!!
We had been on the Millenium a few years ago, Infinity's sister ship. That cruise had been excellent so we were looking forward to this boat. While the ports and weather were fabulous, the cruse experience left us wanting to just get off. It was our worst cruise to date on any line or boat.. As noted by other travellers, Infinity looks beaten up, despite having been "solstisized" in 2012. The food was pretty uniformly terrible. We and our table mates sent meals back a number of times. Our kind waiter started to tell us which would the best bets each day in an effort to avoid this. The wine waiter was so keen to up our consumption that he was filling our glasses like water tumblers then with an empty bottle pushing us to buy another. The supervisory staff was not keeping an eye on things
With exceptions of course, the staff seemed generally untrained and frequently just confused. The boarding process at ports was often chaotic - you would think they would have this down to a science by now. Many small things didn't work or had out of service signs for the whole voyage. The Canyon Ranch spa prices were much higher than on Holland America and as far as I could see that was impacting appointments. One staff said every treatment could be had for $40 off if you ask because no one was booking. Again 1st time we did not have a service - we could not justify their prices.