The blades are the real hazard with a food processor, both for the item and for whoever unpacks it later. Bag them separately from the bowl and this is a quick, low-risk pack.
Pro tip: Keep the small parts bag inside the main bowl rather than loose in the box, so everything for one appliance travels and unpacks as a set.
Watch out: Never toss loose blades into a box; a sharp attachment can cut through cardboard, packing paper, or a hand reaching in blind.