OK, would that be scientific breakthroughs that someone else already made and that I would like to have credit for or breakthroughs that I would have liked to have had, but didn't. I'm guessing the first one, right?
First off: The application of the wheel as machine element.
Second: Sterilisation, the kind you do to surgery instruments and surgeons hands, not the genital one.
Third: The Lagrange Theorem
The first two I would like to have "invented" just because they are of the "why didn't I think of that" kind. The third just becasue it's much easier to say "The Andersson Theorem" than Lugraunch Theorem.
OK, what three tasks would you like your computer to be able to preform?