We don't have any poems to pick one which isn't affected by meter. If we see the list, we can find one that isn't affected by one. A quick note about meter, from an aspiring poet: meter is always there, even if it isn't followed. Most poets typically write in free verse, but a meter typically reveals itself throughout, even if it is a loose one. So ultimately, meter is always there in poems, but some definitely follow it more closely than others.
