There are three nameless eggs in the game this time, and a possible fourth egg if you have the Bonus Edition.

Red with Christmas lights: After you fix the lighthouse, press the round button on the captain's chair in the ship's wheelhouse to reveal the alarm button, then press the back arrow to close the compartment without pressing the alarm button. Do this 13 times to get the egg.

The Lighthouse

Diorama of the music corner in the pub: After you're asked to cook in the pub, go into the kitchen in the Missti Skip, then put a puffin in every slot. When you hear a chicken cackle, leave the kitchen and go to where the instruments are; the egg is sitting on the cello.

How do I cook ... whatever it was?

Shiny green glass with a woven basket bottom: Pop every triangle up in the locked box in the Captain's quarters, and then press each corner triangle. You can only do this BEFORE you solve the box for real (in which you press every triangle down). If you're having trouble doing this, here are the pieces to press:

Triangle Box for Easter Egg

The Bonus Edition egg: In the ice caves -- From the beginning of the cave, go forward 10 screens to reach a junction that can go either straight or left; go left. At the end of this tunnel, use the ice pick on the floor of the cave; there's no hotspot, but try anyway. This egg might be bugged, by the way. I have the bonus edition but haven't been able to find this egg. Oh well.

You can exchange eggs for souvenirs in the gift shop by clicking the egg on the item, but not the sword, the batteries, or the book. I usually use them on something expensive like the sweater, but it's your call.