Would be nice to see more wildlife generally...
But having an aggressive bird of prey I think would be kind of cool. Maybe it's an oversized nasty looking parrot, eagle, or hawk.
They could have nests high up on rocks and mountains, some may live on the isolated rocks out in the ocean. As ships sail too close, they may attack the pirates on board.
Often they will land on a ship's crowsnest or masts, causing you to be unable to raise or lower your sails... They may be attracted to shiny objects, and have been known to carry away chests, oos skulls, and other loot that attracts them.
Perhaps they might even carry a crew member away and drop him somewhere; if not out in the ocean, maybe in their nest, or on an island hilltop... or on another ship's deck.
Perhaps, if you approach slowly and offer a banana, or some other food available (in a future update), they could be coaxed to be your mascot for a time and even attack your enemies...
Perhaps treasures can be found in their nests, if you can reach them without being attacked and eaten.
They should be able to be shot out of the sky as well if they become too aggressive.
Just some thoughts on bringing more interesting life and challenges, from the skies of SoT.