A bread maker's nonstick pan and kneading paddle are the parts most likely to get dented or bent, while the base is a dense, sturdy motor housing. Clean and separate them and this packs quickly.
Pro tip: A light coat of oil on the pan's nonstick surface before storage helps prevent it from drying out if the machine sits unused for a while.
Watch out: Never pack a bread pan with the paddle left rattling loose inside; the metal paddle scratches the nonstick coating faster than almost anything else.