Lord of the Rings: The Two Towers Easter Egg - Gollum's MTV Awards Speech

Okay, this definitely works on the region 1 DVD Box set (the one with the Gollum statue). I can't vouch for the other versions. Here goes:

Insert disc 1 (the one with the first half of the movie) and choose the 'select a scene' option.

From the list of chapters on the right of the screen, choose scenes 29-30.

Press down on your remote to highlight scene 30 ("Of Herbs And Stewed Rabbit").

Press down once more and a small ring will appear. Press ENTER to see Peter Jackson introduce Gollum's MTV awards acceptance speech.