I am looking to have a WP Plugin developed. You can view this effect here in the free theme Gridsby: https://modernthemes.net/wordpress-themes/gridsby/
It was created with Java and CSS3 animations. I do have some resources gathered from here: http://tympanus.net/codrops/2014/03/27/3d-grid-effect/
It is not based off of a custom post type but rather any image uploaded anywhere in the theme as a featured image with full post content showing in a lightbox (possibly iframe) with animated page transition. I have searched the community and have not found anything similar enough.