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:
http://codecanyon.net/item/accordion-slider-responsive-wordpress-plugin/full_screen_preview/7341927
http://designhuntr.com/40-jquery-css3-accordion-sliders-menus-tutorials-psds-plugins-websites-and-downloads/
Not an accordion slideshow in the slightest.
Here is another example of the slideshow effect you are trying to achieve:
http://coolcarousels.frebsite.nl/c/64/
You can download the source code and play around with it to create your own from this link also.