I think CotBP is still the best of the three. AWE is better than DMC but I have numerous problems with its plotlines:
1) How come we never heard of anything about Calysto in the previous two installments? How come she brought back Barossa for the pirate lord meeting but didn't do the same for Sao Feng when he died? Did she even matter in the end?
2) Why were the pirate lords only got their mention in AWE, when DMC and AWE were shot simulataneously? And how come Jack Sparrows is a pirate lord? Weren't he just a crew of Barossa in CotBP?
3) This one is more of a complain than anything else. When "king" Swann declared war against the British armada, I thought the pirates would engage the far-superior Brits in a duel of life and death. Instead, only Black Pearl & Flying Dutchmen battled in the whirlwind, and thus the climatic battle was rather ho-hum to me.
And Chow Yun Fat's character was wasted in the expense of Elizabeth Swann. Seriously, they could've cast an unknown because Sao Feng's screentime was so short. And at a near 3 hour running time, my patience was running thin by the third act. I think Spider-man 3 was a more enjoyable movie, as flawed as it is. AWE was, by and large, a let-down.