FogBugz
6.7#11 in game bug tracking softwareFrom $62 a monthWebAPISelf-hosted
VisitFogBugz is aimed at software development teams of 5–50 people seeking to minimize management overhead. It may suit teams that want case tracking, workflow options, and either web or on-premise deployment.
Redmine suits teams that want self-hosted project management with configurable issue workflows, time reporting, and collaboration features. It is a fit for users comfortable running Ruby-supported systems and managing an open-source application.