Bug Tracking Software: Redmine, http://www.redmine.org/
Mantis Bug Tracker, http://www.mantisbt.org/
Featured TimeSheet Software: Dovico, http://www.dovico.com/
Bug-Feature-Support agile management software. Redmine
Social Task (Project Management with social Angle)
http://darshanmarathe.com/Projects/SocialTasks.aspx
Kimai is a free open source timetracker.
http://www.kimai.org