I want to know what this kind of animation is called and how it is created and more importantly which Adobe product to use to make something like it?
Can't view it. Music copyright. Provide an alternate source or some still images. I can only find a static video displaying the album cover.
It's important to see the animation itself, still images won't show it. Search in YouTube for Dead Come To Life Jonathan Thulin, it's the longer video, should be the top result
If you are referring the parts that look like this then it's can be recreated with a layered photoshop file imported as a composition and then you animate the transform properties (position, scale, rotation and opacity) of the layers. The layers in this shot were probably set to 3D layers and a camera animated to create the illusion of parallax. Sometimes this is called the kid stays in the picture effect. Here's an example from Video Copilot.