Here are a few ideas... I'm putting them all in one post instead of making new posts for each to avoid needless clutter.
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Achievement Name: Creases of Ate
Achievement Description: Eat eight bananas in eight seconds, then fold the skins into an origami octopus.
(Note: Since I don't have the beta, I don't know exactly how long it takes to eat a banana, so the time may need adjusting. I know there are no banana skins in the game (at least not yet), but I thought it would be funny. If the skins never work, just eat the bananas and change the name to "Pieces of Ate".)
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Achievement Name: Death from Below
Achievement Description: Kill a shark from beneath it.
(Optional): An image of a shark swimming across the surface of the water, with a giant pirate's head, mouth open, coming up from below—a reversal of, and obvious homage to, the famous "Jaws" poster. The front of the pirate's tricorn hat could serve as the pointy "nose" rising up in the image.
(I claim no rights to this image, nor can I grant any rights to you. This image is provided only as an example from which to base a new picture.)
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Achievement Name: Space Pirate!
Achievement Description: Reach a height of x meters.
(Optional): A picture of a pirate wearing a fishbowl on his head (like an astronaut's helmet), with a background of a starfield.
(Note: replace 'x' with a number only achievable when fired nearly straight up from the highest-mounted cannon in the game, probably on top of a tall island or something.)
Interesting bit in the official rules:
[ “Territory” shall mean: Worldwide. ]
[ ...this Contest is void outside of the Territory ]
So I guess the folks on the ISS can't enter? Neither can anyone who gets this achievement!
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Achievement Name: Jailbird
Achievement Description: Spend a total of ten hours in the brig.
(Note: For this achievement, time in the brig is cumulative and need not be consecutive.)
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I think four is enough for now. If I think of more before the deadline I may add them later.