No special type, just a slide show with auto crop images and thumbnails to the left in this case, and a title (usually linkable) and a description.
It is very common.
It's a type of Accordion Slideshow
Sorry Brandman, but it is not an accordion slideshow. Not at all. Accordion slideshows (or sliders) offer a completely different display.
Have a look at these examples:
Not an accordion slideshow in the slightest.
Here is another example of the slideshow effect you are trying to achieve:
You can download the source code and play around with it to create your own from this link also.