If you wonder what a taxonomy is... It's the common name of keywords like category or tag. They are used to group similar images. Anything not natively found in WordPress is a custom taxonomy, such as shoe type, genre or similar that may only exist on your installation. They are a very powerful way to mark photos that belong together.
Selecting a group of images is the easiest and fastest using taxonomies. So, while WordPress presently lacks album-gallery relationships or even hierarchical galleries, this approach comes closest. Think of categories as albums and tags as galleries. You can create galleries on the fly just by typing words into Justified Image Grid. Let's see how that works.
If you have lots of photos you should be tagging or categorizing them already. The free plugin called Media Library Assistant helps a lot, especially in bulk-tagging and bulk-categorizing images. Also it's wise to keep image tags and image categories separate from the normal post tags and post categories. MLA plugin does this by creating custom taxonomies that JIG recognizes simply as tags and categories. If you are a photographer and use Lightroom, you can utilize the MLA plugin to import the keywords and other IPTC metadata into the WordPress Media Library. Neat huh? Then you are only 1 step from creating galleries which is as simple as writing a few words.
Here the "blue" is the tag and "landscapes" is the category. Just by typing these two words into the plugin we get a nice gallery. There's no need to select these pictures manually. When you upload more blue landscapes, the gallery will grow automatically. Cool!
More advanced and/or relationship using custom taxonomy
It's recommended to use custom taxonomies. It's a separate setting where you choose the taxonomy and enter your term(s). A nice trick is to select tags or categories again, to juggle AND/OR relationships. To better illustrate this take a look at this:
Blue OR orange exotic destinations
The colors are tags while "exotic destinations" is the category. If you just list a bunch of tags, they will add more pictures to the pool.