If you've never read Lilliput Review, issue #186 (Summer 2012) is a great issue to start with. Every issue of LR has great short poems, but this one seems like it's full of them. Haiku fans will enjoy finding poems by familiar names like George Swede, Ellen Compton, and Ayaz Daryl Nielson, and there are two very good haiku by Charles Gramlich and Ed Markowski. The issue ends with a somber (but good) poem by Noel Sloboda.
Single issues of LR can be obtained for just $1, and a 6-issue subscription is just $5. If you like short poetry, give Lilliput a try. More info can be found on the Lilliput Review website.