Besides publishing a current list of literary magazines accepting reprints, the blog Published to Death includes a link to poetry publishers accepting unagented manuscripts. And it's not just for poetry. There are listings for all genres, including visual, and their markets and includes cool links such as . . . calls for submissions by the month, paying markets etc. Yes, there are similar sites, but this is a good one.
Of course, Duotrope is, at least in my limited experience, the best of the best when it comes to offering an "extensive, searchable database of current fiction, poetry, nonfiction, and visual art markets, a calendar of upcoming deadlines, a personal submissions tracker, and useful statistics compiled from the millions of data points". Yes, that's their description but it is what they do and they do it well. I was a subscriber until they erected a paywall. After that I couldn't justify the expense. I seldom followed through and actually submitted anything.
I did a poetry blog instead. I just want to make my work available. It is, better or worse, about the only work I have to offer. However, that means if I want to publish something elsewhere, you might say in a "real" publication, I must find publishers who accept reprints. Annasadhorse may be one of the the least visited sites in the universe but most publishers automatically refuse anything unless they get first rights. I know. Cry me a river.