When comparing Bitbucket's bug tracker vs Redmine, the Slant community recommends Redmine for most people. In the question“What are the best free bug-tracking tools for programming? ” Redmine is ranked 3rd while Bitbucket's bug tracker is ranked 4th. The most important reason people chose Redmine is:
Redmine is a free and open source tool.
Specs
Ranked in these QuestionsQuestion Ranking
Pros
Pro Free unlimited private repositories for small teams
Bitbucket offers unlimited private repositories for free, as long as the number of members in a team is not larger than 5. BitBucket does not use GitHub's pricing plan, instead of charging users for each private repo, it charges teams per number of team members. It is free for up to 5 people.
Pro Supports both Mercurial and Git
Has full support for both Mercurial and Git VCS.
Pro Native application for both Mac and Windows
Atlassian, the company behind BitBucket is also behind SourceTree, a free application for Windows and Mac wich works as a client for both Git and Mercurial which can be connected to BitBucket and other code hosting services.
Pro Multiple authentication methods
BitBucket supports GitHub, Twitter, Facebook, OpenID, Google and even GitHub authentication.
Pro Free and open-source
Redmine is a free and open source tool.
Pro Visually appealing and has high usability
Redmine's UI is very simple and easy to learn to use. It does not overwhelm users with many options and information at once.
Pro Built in Integration for GIT, SVN, & CVS
Pro Built In Wiki
Pro Plugins support
If there is additional features set you want you can find or write plugins to extend the ability.
Cons
Con The UI seems old and not very polished
While GitHub's UI is extremely simple to understand and very polished, BitBucket lacks a bit on this category. With a design that seems old and not as pleasant to look at.
Con Only 5 users are free
5 users free: Unlimited private repos, Dedicated support, Code reviews, Custom domains, JIRA integration, REST API.
Con Integration with other tools is not as good as github
Most of the 3rd party tools ( bug trackers, CI servers, chat servers, etc) always integrate with GitHub first, and either don't integrate with Bitbucket at all or do sub par job in it. For example there are 3 separate projects to allow building and verifying pull request submissions on Jenkins CI server and there is only one viable one for BitBucket and that one is really buggy and lacking many features.
The only exception to this rule is Atlassian products like Jira.