Which 3D animation software?

I’m looking at Code Computerlove’s showreel and wondering what animation package they might have used for the sequences (starting a few seconds in) where graphical elements of a website fly in or across the stage and settle into place. The entire animated area appears to tilt and turn sometimes, too.

Would anyone have an idea of what software would be needed to create animations such as these, and how one might go about animating the various elements of a web page layout, which exist as separate layers of a Photoshop file?

Thanks in advance…