This plugin can list posts, pages, categories in alphabetic order (A to Z listing)

Provide you a listing and insert listing in front side of your WordPress site and you can control how user insert list or the directory privacy.

Listar is Directory Listing & Classifieds for Wordpress sites

Free LINK DIRECTORY Plugin for WordPress to Curate Links for Web Directory. Link management, Directory Listings, Link Archive, Vendor Directory

aDirectory is a lightweight, scalable, fast WordPress directory plugin for building any type of directories, classifieds, and job boards websites.