How to fix a loud, vibrating Maytag top loading washer?
Ensuring the washer is level is always a good thing to do for anyone owning a washer. This sounds more major than a simple leveling. I think one of the suspension springs are either broken or has become detached. By removing the sheet metal cabinet, it shouldn't be too hard to check the springs. Depending on where the problem lies, it could be an easy fix or major surgery.

I believe this machine has 3 large lateral springs and a smaller vertical spring in back. This vertical spring can lose it's lower attachment to the frame because the frame rusts out. The solution here is to drill a new attachment hole nearby in competent metal and reattach the spring in the new hole.