Millenium Puzzle - Used by Yugi, activates when Yugi is challenged to a duel or when Yugi is in a situation in which the puzzle should be used. When activated Yugi becomes Yami Yugi.
The Eye there? Well, that's the Sacred Eye of Ra. Believe it or not, ancient Egyptians worshipped the thing, believing it to be the symbol of the Sun God himself. Ra and Osiris are often pictured with the Sacred Eye behind them. Actually, the existence of the Puzzle itself is unbeknownst - but we are sure that the Shadow Games existed.