While these literary journals are known for responding quickly, you may want to cross-reference them using Duotrope to see their acceptance rates and if these journals are right for your piece. Here are two lists from Authors Publish:

2018: http://www.authorspublish.com/15-literary-journals-with-fast-response-times/

2017: https://www.authorspublish.com/fifteen-literary-journals-that-respond-within-a-month/