I've told this before, in other threads, but here goes. I spent the first 49 years of my life hating poetry. I suppose not the nursery rhymes Mom read us, but in junior high, senior high, and college I couldn't stand poetry. I tend to blame the way teachers taught it, but that's probably an unfair criticism.
When Dad died in 1997 I got all his books. Many of these were handed down through Mom from her great-uncle, and many were poetry: complete works of Shelly, Keats, Tennyson, Burns, and a few lesser known. One of the books was the letters of Charles Lamb, friend and colleague of Colleridge. I read those letters, fascinated by them and by the relationship between Lamb and Colleridge. So Lamb's letters led me to Colleridge; Colleridge led me to Wordsworth; Wordsworth led me to Keats, Tenneyson, Southy, etc., etc. And the end is not yet.
As to why I read poetry now, it is for a mixture of enjoyment and improving my own craft. In truth, most poetry tends to put me to sleep. I've been struggling through a Longfellow book, and can't read more than a page or two at a time. Shelley is a dark veil to me. Burns is close to indecipherable. Eliot is indecipherable. Most poetry written since 1900 leaves me flat, except for Robert Frost, Edna St. Vincent Millay, and a few others. Tenneyson and Wordsworth are okay, but I couldn't read them for hours the way I can with prose.
But I keep reading. Times in Barnes & Noble are often a book of modern poetry and a tall house blend, hoping that it starts to gel for me. As to what turns me on about poetry--at least the poetry that I like--it's more the sound than anything else. I love the rhyming and meter, or the rhythm and word play. Metaphor and imagery make me think. Ambiguity that makes me think some about what the poet meant is a plus, but not utter obscurity.