There are many photo galleries available for Joomla. Here is an overview of those I’ve had occasion to consider.
Open source. For Joomla 1.5 through 2.5. Considered best in class by many. Multiple languages available. So full featured that some find it overwhelming.
Simple Image Gallery Extended (SIGE)
Open source. For Joomla 1.5 through 2.5. Multiple languages available, although not the one I need, Spanish. Active support forum. Easy to set up and use, and my current favorite.