As far as I understand, everything in this universe has motion, subject to time, etc.
Would this be correct to classify as vibration?
If the above is not too far out of line, how does a black hole compare with what we know towards everything else in a galaxy? (It’s motion/vibration, etc).
A basic kind of repeating motion is Simple Harmonic Motion.
Spin, or circular motion, can be described as a pair of simple harmonic motions displaced by ninety degrees.
A simple physics demonstration: A slowly rotating disc is painted black and placed in a box with two windows, one on top and one on the side. A ping pong ball is glued or screwed, to the face of one of the discs at the edge, and illumined by a very weak light.
Looking in the top window, you can see the ball move side-to-side in simple harmonic motion (SHM).
Looking in the side window, you can see the ball move up and down in SHM.
A simple pendulum moves in SHM at low amplitudes.
SHM is a frequency,a kind of wave motion.
SHM can also create a spin or rotation, pure (2-D) motion.
A mathematician once showed that all complex frequencies can be explained as compound SHM motions.
What should be remembered, though, is that SHM describes a [continually] repeating +,- type of motion or variation.It is the repetition which makes it a frequency.
You’re correct that everything in the universe is in motion, at least with respect to some other body. There is no absolute rest frame. Even a single atom, isolated in a two-body system where the other body is at rest WRT the atom and observing it, has internal motion - which is a vibration.
But not all motion can be classified as a vibration. Linear motions aren’t vibrations. As Packerbacker related, some motions are in the form of harmonic oscillation, technically vibrations, a repeating cycle per unit of time.