JumpBox for the MySQL Relational Database includes MySQL 5 along with PHPMyAdmin set up and ready to run. It's a great tool for developing database backed applications, and can also be used along with other JumpBoxes if you need to move the database into a separate virtual machine.
PostgreSQL is a powerful, open source object-relational database system that's been under active development for over 15 years. This JumpBox includes PostgreSQL 8 along with PHPPgAdmin set up and ready to run. The PostgreSQL server is network-accessible and provides a great storage engine for a broad array of applications.