The below is the intro to www.duotrope.com. They have thousands of publications, some that pay and some that don’t. But you can select the publication you want by your genre. Check it out!
“Welcome to Duotrope’s Digest, a free writers’ resource listing over 2750 current Fiction and Poetry publications. Use this page to search for markets that may make a fine home for the piece you just polished. Use the menus at the top and right to explore the rest of the free services we offer writers and editors, including a free online submissions tracker for registered users. We usually make several updates per day, and we check each of the current listings regularly (once a week for most listings) to ensure the most up-to-date database humanly possible. So far today, we have checked guidelines for 360 listings. So far today, we have made 23 updates. The last update was made 0 hour(s) and 0 minute(s) ago.”