No one has to like poetry.
To me the "vocalization" of a poem is an important part of poetry, so if you enjoy works that are meant to be vocalized in song or speech, than I would say that you DO like poetry.
There is a lot of variety in poetry. There are plenty of classics that I really don't care for, and at the same time, there is a lot of poetry that I think is world-changing.
Personally I prefer modern poetry vs classics, short vs long and unrigid vs rigid. Some of my favorites are Charles Bukowski, James Dickey, and Silvia Curbelo.
For me poetry is simply about maximizing the power of words - condensing them down in to a form that can feel like a punch in the gut. Like a good song lyric that seems to have been written specifically for you.
Take this single line from Silvia Curbelo's "Between Language and Desire"
"There is no honest metaphor for bread."
It helps knowing the rest of the poem, but even by itself, to me anyway, it has a tremendous amount of meaning.