@Seizan,
Both Lands End and Jos. A Banks sell wrinkle-free 100% cotton shirts. I hate to admit this, but I used to actually like ironing shirts, however, getting older and several health issues have made ironing a dead issue.
I still order shirts for my husband on the catalogue versions of Land's End and Jos. A Banks........I don't know what they do to condition the shirts, but they do look great and stay looking sharp all day. They do have one drawback, the areas that are creased (like the cuffs, collar and the sharp lines down the sleeves) tend to wear out sooner than you might expect. I'm guessing, but I assume whatever they use on the fabric to make it wrinkle-free tends to weaken on the sharp lines. I may have difficult expectations, because the shirt looks great and then you notice a small split on the sleeve......I shouldn't say they don't last as long because I've never really kept their longevity on an accurate list.......It does tend to tick me off when a nice looking shirt has lost it's allure (maybe it just means I'm cheap) but I do love the wrinkle-free shirts.