Cotton lawn, Batiste, broderie anglaise all work, but do look their best ironed. My daughter doesn't iron anything and the dresses I've made for GD look fine on, after all, they get creased when worn. I made a dress from chambray, that doesn't seem to need ironing. Seersucker and gingham are good and polycotton is non iron, but high amounts of polyester can make it feel scratchy and doesn't breathe well. I wash cotton on a low spin speed cycle then line dry, the wind bashes out
any wrinkles & softens it.