Create 4 3D layers and pre-compose them., position them to form a box. Parent them to a 3D null object and animate it the way you want. Use these 4 precomps to show your images/video or whatever you like.

The trick to get nice reflections is to use a black solid right beside every wall of the box. Without that technique your reflections would be semi-transparent and you would be able to see partial reflections from other other walls of the box.  The size of the solid should be equal to the size of the wall plus the size of a reflection. These solids should be aligned with top, right and left borders of each wall of the box. All four black solids should be composed using a "silhouette alpha" mode and parented to the same null object as walls of the box. If you do it right you would see reflection only from these two walls of the box which are faced a camera at any given time.

Here is an example of the above technique: