This part is going to list some poetry that I think is worth study. A note before I list examples, though.
Reading poetry is a learned skill. Sadly, it is not one that most Americans learn because most Americans aren’t exposed to any poetry worth reading. Unless you grew up, like I did, in a home with a lot of books of poetry lying around, probably your only experience in poetry was a grade school teacher reciting the lyrics of “Imagine” and telling you to think about your feelings.
Fiction involves certain conventions. You have to learn to accept that a narrator is “telling” you a story. You have to learn to read quoted material as speech from a character. You pick up on when a gap of time exists, and when the action has changed scenes. Mostly we learn these things so young that we’re not aware that they were ever learned.
Poetry also has certain conventions, mostly due to the constraints of space and form. It’s a very dense medium and that takes getting used to. The language tends to be both more metaphorical and more abstract than prose. Poems often start (and sometimes end) in media res so that you have to pick up on what is going on right away.
Read slowly. If you can do so without freaking out your coworkers or children, read them aloud. Take time to savor the words and get a feel for the structure. And give yourself time to adapt to the form.
I can’t tell you how to read poetry. You have to develop your own feel for the medium. All I can do is encourage you to make the effort. The list below is deliberately wide in terms of style. It is not meant to be definitive, just a few places to start. These are mostly my personal favorites, but I think most readers could find something on this list to spark their interest. A few are on the rather far end of “formal”, but I think that none quite cross the line into Blank Verse. The walls are there, once you learn to see them.