I really liked the Century. Of course this was our first cruise and have nothing to compare it to, but I felt it was great. The service and food were outstanding. I felt spoiled. Every night was like eating in a four star restaurant. The ship was kept immaculate at all times. My only compliant would be that the bar waiter (they call him a somalier or something like that) kind of ignored our table as I was the only one who would have a drink at dinner. but he got better as the week went on.
We didn't see any of the shows so I can't comment on the entertainment. We were always unwinding from our day on shore or from the big dinner we just ate when the shows were scheduled. Our table mates though did comment that the shows were good.
Our stateroom attendant Vincent did a good job and was very friendly.
If you're looking for a nice quiet area on the ship, I recommend the promenade area (deck 6 i think). It was a shaded area that hardly anybody ever used and always had a nice breeze blowing. We would walk around this area after dinner and in the early morning. A nice break from the busy pool area. Also the back deck behind islands cafe is very nice. good sunsets from back there. i got a couple good pictures there.
If you want a lounge chair by the pool you need to get there early. Personally, I recommend going up to the second deck. always plenty of chairs available and you don't have be out too early.
Next time, I'll handle my own transfers to and from the airport via taxi. Going to the port wasn't too bad via Celebrity's shuttle, although we had a long walk to the bus from the baggage area. Leaving the port to go back to the airport was a mess. People yelling at you to keep moving, "don't stop!!", and there was much confusion over which bus went to what terminal, and which bus was full and which wasn't. Big headache!
Overall, I loved the Century and would return.