Actually, it's very good that you bring that up, Erimgard. I didn't know that the Triforce actually comes together at the end of The Adventure of Link (it being the only one I haven't beaten :S). So, both Adventure of Link and A Link to the Past end with a wish on the Triforce. So, the question really is, what is the nature of the Triforce, as far as where it goes once it has been touched? We need for it to remain in Hyrule before the Oracle games start.
Edit: I hate how I can freeze this topic so easily. Please, keep talking! What happens to the Triforce when someone touches it?
In Adventure of Link, the curtain falls down, so we don't know.
In aLttP, Link leaves the Sacred Relam, and his wish was apparently the restoration of Hryule, as all those who perished are back. He's not shown to have taken the Triforce out of the Sacred Realm.
In Wind Waker, it flies away.
All we have in terms of in-game text is that when a wish is made on the Triforce, the Triforce will fulfill all the wish/es in the heart and mind of the one who touched it, based on the expression of their wish, at the time of them touching it. No one else can touch it until they die. Whether they can then keep it with them or not...we don't know.
Because of the Triforce disappearing in WW, some people believe that it magically returns to the Sacred Realm. This isn't stated in any text, but it's a possibility.
I see the Triforce flying away in Wind Waker as a fulfillment of the King's wish. He wished for Hyrule to be washed away, and it was. Then he wished for a hope for the future for the children, and the Triforce flew away at that point. I don't want to get too into WW at this time, since that's not part of the thread yet, but I just want to point out that the only evidence for the Triforce returning to the Sacred Realm upon a wish is that scene in WW, which I don't believe is by any means ironclad.