CiviCRM - A Constituent relationship management for the Civic Sector
Flocknote - Flocknote helps super duper churches with their members.
Planning Center - Find the information you need to follow up with your congregation and gain insight into your church members, all in one place.
Rock RMS - Rock RMS is a community supported open-source Church Management System that provides innovative features to churches of all sizes.
WORKetc CRM - All-in-one business management system. CRM + Social + Projects + Billing
ChurchSuite - ChurchSuite is a cloud hosted, web-based church management system, ideal church database software for churches.