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Why? So they'll right themselves if they're capsized? If a ship (not a boat) capsizes you've got pretty serious problems already.

Besides, self-righting is a very different sort of problem when you're floating.

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It is fairly standard for lifeboats to be self-righting. Google "self-righting boat" for examples. The typical shape is not a gömböc, though. A gömböc would self-right, even when completely under water.

The self righting designs I'm familiar with for (large) dinghies have a lot of lead in the bottom of the boat combined with a lot of built in buoyancy - they'd probably self right deep underwater.

I'm sure a gomboc would self-right when completely underwater, but what about a floating gomboc half-submerged? Different problem.

Also, ships are not solid (as in 'filled'), let alone uniform in density. On top of that, hydrodynamics imposes more important constraints on shape. You can make a ship pretty stable by loading its keel heavily.

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