You could attach the knife/cleaver to a trip hammer (see "Little Tipper(TM)") for chopping action, though it'd by necessity be a lightweight blade (that darned torque problem again). You could dice light green veggies like lettuce or maybe celery, but even a carrot may cause it difficulty.
Edit: the glass harmonica would be feasible if the player has a light touch. The lathe? Maybe, if the operator has a very light touch. The drill? again that torque is an issue. Drilling takes torque to move through hard wood. The aeopile has less torque than a dreidel*. With a very thin-threaded drill or wide-bladed drill that works slowly and only scrapes out a small sliver at a time it's possible to make a really slow drill.
*C'happy C'haunnukah everyone!