Trac - Trac is a project management and bug/issue tracking system. Provides an interface to Subversion and an integrated wiki.
Jira - The #1 software development tool used by agile teams. Jira Software is built for every member of your software team to plan, track, and release great software.
Redmine - Flexible project management web application
PlanShell - PlanShell offer a secure, low cost, unlimited project management & issue tracking redmine hosting services
TeamClerk - Team Clerk is project and task management software that automatically keeps your team organized and monitors progress of all of your projects and tasks. Let us organize what you do,so you can focus on why you do it.
Collabtive - Collabtive is a web-based project management software.