Jira may be extremely sluggish and require a large amount of memory on the client side.
Planning Center - Find the information you need to follow up with your congregation and gain insight into your church members, all in one place.
Trello - Infinitely flexible. Incredibly easy to use. Great mobile apps. It's free. Trello keeps track of everything, from the big picture to the minute details.
Flocknote - Flocknote helps super duper churches with their members.
Asana - Asana project management is an effort to re-imagine how we work together, through modern productivity software. Fast and versatile, Asana helps individuals and groups get more done.
ChurchSuite - ChurchSuite is a cloud hosted, web-based church management system, ideal church database software for churches.
Wrike - Wrike is a flexible, scalable, and easy-to-use collaborative work management software that helps high-performance teams organize and accomplish their work. Try it now.