Cotton by its very nature is wrinkly but I know what you're talking about. I'm currently wearing one of their silk road poplin shirts that's made of a particularly wrinkly cloth. However, I find it gets better after repeated washes which removes the starch from the fabric and the wrinkles don't affect my enjoyment of the shirt.
If you want to avoid wrinkles, best stick with a non-iron fabric in a heavier weave. Reality is, cotton wrinkles.