Poetry at its best is the best writing because it uses ALL the resources of the language (i.e. not just the intellectual meaning of the words but the musical possibilities as well).
The older I get the less-inclined I am to read anything except poetry because it gives you the most in the shortest space of time.
But this is only if it's actually POETRY, and GOOD poetry at that.
Most of what gets called "poetry" these days isn't poetry, it's either just verse, or it's not even verse, just short lengths of pretentious prose chopped up unevenly.
Unless you're entirely dead inside there will be SOME poetry you will either like right away or come to like with only a little bit of work.
Public school obviously kills people's interest in poetry as it kills their interest in everything else. There's nothing worse than being given something and told how moving it is - we just get irritated that we're being expected to feel something we don't.
It's hard to recommend stuff without knowing who you are and what prose you have read and liked.
Here are few suggestions. They are all fairly modern (20th century) because that's usually more accessible.
If you like any one of these, then get the complete works of that author.
Dylan Thomas, O Make Me A Mask -- ya gotta keep your shields up against the world!
Dylan Thomas, Not From This Anger -- his girlfriend has just refused to have sex
Dylan Thomas, Fern Hill -- as a child he stayed on a farm in the holidays and he misses it
Robinson Jeffers, Hurt Hawk -- Jeffers likes hawks and foxes and wolves and things that kill things
Ted Hughes, Jaguar -- Ted Hughes visits a zoo and sees a Jaguar that doesn't like being in a cage
Philip Larkin, Ape Experiment Room -- Larkin HATES cruelty to animals
Charles Bukowski, The Genius of the Crowd -- Bukowski doesn't like people much and certainly not in large quantities