There was one game, I played it back on the original Xbox. It was (very) loosely based off of Pirates of the Carribean, but I can't remember if it was named after the series or if it was just called Pirates.
It was actually an excellent game, I do not remember it very well, but you played some nameless protagonist and it had both ship-based and 3rd person segments, and you recruited your own crew(often with their own backstories), fought decent naval battles and could even raid ports.
I don't remember it very well, sadly. I would be interested in knowing what the game was called, myself.
Actually, I found it here
It's actually quite a good game, if memory serves.
I shall have to track down a copy.