A208 Balencing.
Congratulations, you have one of the best washing machines ever made! At least I think so.
I also have an A208 and have had some balancing issues. First, make sure it is level both front to back, AND left to right. On each of the machine's adjustable feet, there is a nut. After you get the machine leveled tighten that nut snug up against the underside of the machine. It's there to keep vibrations from causing the screw-in feet to adjust themselves out of level. If these nuts aren't tight, the machine can be in balance for a short while and then work itself off balance Try setting the timer to the spin cycle with nothing in the tub. If it goes off balance then, something bigger is wrong. Once you have the machine balanced, you can throw in a big towel (try to ball it up onto one side of the tub) and run the spin cycle. If it stays balanced, you've done a good job.
Use a clothespin, or some other device, to defeat the safety switch behind the lid and watch the tub as it starts to spin (kind of dangerous so keep your hands away from the spinning tub). It's ok if it wobbles a little bit, but if an empty tub wobbles a lot, that's a problem.
If the tub is still wobbling, remove the two screws at the bottom of the front panel and remove the panel. Be mindful, there are two metal clips holding the front panel to the top. Just swing the bottom of the panel out and up and it should detach from the top. The tubs are held in place on 4 posts/bars, each one of which has a spring (really obvious). Make sure that all 4 springs are in place and aren't broken or detached.
While you have the front removed, this is a great time to look for signs of oil leaking from the transmission. The whole transmission spins during the spin cycle (hence the counterweight). Sometimes these old Maytags leak some oil from a failed seal, and if this has happened, the transmission slings oil around in a line inside the cabinet. If you have an oil leak, someone here will tell you how to fix it.
Don't do any work yet, though. Someone else may come along with better ideas than I have. If that's the case you'll have an easier time and I will have learned something.
Happy A208 Washing, don't forget to clean your washer's lint filter. The former owners of mine didn't know it had a lint filter, and it was NASTY! It cleans much better now.
Happy Maytags make great housemates,
Dave