Sure you can do this in AE. None of the examples you linked requires any deeper knowledge. They are all just directional blurs, Fractal Noise and animated "infinite scrolling" e.g. using the Motion Tile effect.
Are you saying that even the third example is possible for an idiot like me? With what you've told me, maybe I can get away with the first two. Maybe. But I don't see how someone can do the more dimensional lines in the third example.
Is there a tutorial out there?
There are usually several ways to do something in AE. Polar Coordinates might be one way to get that look. Radial blur set to zoom also might get you partly there.
In order to become not-an-idiot, I highly recommend starting here: Getting started with After Effects
That link will get you a good, solid foundation in HOW to work in AE, so that you can start figuring things out on your own. And, even if you just follow tutorials, at least you'll be less frustrated as you do.