Included below is an example of popular / supported server configurations. We build our developement environments using the REMI and EPEL repos (REMI mainly for PHP 5.6.x / 7.0.x and MariaDB 5.5.x).
RHEL / CentOS 6.x, 7.x (latest, stable) Fedora (working, limited testing) Ubuntu (working, limited testing)
Apache 2.2.x,2.4.x (latest, stable/patched) Nginx not officially supported yet
Minimum: PHP 5.6.x (latest, stable) Recommended: PHP 7.0.x (latest, stable) Note that this will depend on compatiblity of other Joomla extensions with PHP7.
Minium: MySQL 5.5.x (latest, stable) Also supports latest stable MariaDB.