When comparing Redmine vs BitBucket Issue Tracker, the Slant community recommends Redmine for most people. In the question“What are the best self-hosted bug trackers?” Redmine is ranked 2nd while BitBucket Issue Tracker is ranked 12th. 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 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.
Pro Free for up to 5 users
You can use BitBucket for free if you have 5 or less users (or try it out for free). Price brackets are for 10, 25, 50, 100, or unlimited users (it costs $1 per user per month, or $200 for unlimited users).
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 Supports both Mercurial and Git
Has full support for both Mercurial and Git VCS.
Cons
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.