Mind = Blown.
Now THAT is a carefully crafted GIF.
It's one of many "wiggle" GIFs that fudges 3D by showing both eyes an object from rapidly changing angles. You can find a ton of them on Google.
When done with photos as you've just shown, it looks like the "bullet time" effects in the Matrix movie series. I find the first illustration you posted to be a more "effective" 3D effect, though.