That's really difficult, especially I'm nigh-on certain that three games would not be enough to see me throughout a year on a desert island. I guess, though, that I would go with...

• Dragon Quest IX: Sentinels of the Starry Skies, as I have many fond memories of sinking hours into it.
• Pokemon Gold, since it was my first, and though not my favorite, it has a whole second region to dive into.
• And the most difficult of them all, numero tres. I guess I might go with Final Fantasy XII - I've always wanted to play it, after all.