OK, it's not perfect. It didn't get out the water stain, but what a difference for very little effort. You can see that it evened out the finish and got rid of the scratches.
I don't have a before picture of this side, but it was splattered with tiny drops of paint. Yes! They've magically disappeared.
You'll need: a can of Howard from any home improvement store, rubber gloves, #0000 steel wool and/or a couple of soft cloths. I used steel wool because of the paint spots and the heavy scratches. A soft cloth will work if you're just doing a light cleaning. It comes in several different shades, so I usually have a few cans hanging around my garage.
Do this in a well ventilated area because this stuff doesn't exactly smell good. I applied it to the steel wool and then rubbed in the direction of the grain. The paint spots needed to be rubbed a little bit harder, but they came right off. I did all four sides and the top, then wiped off the excess with a soft cloth. I left it for a couple of hours and then went back and applied a coat of Howard Feed-N-Wax to help protect the finish. Feed-N-Wax is beeswax with orange oil and comes in a plastic bottle. It smells much better than the Restore-A-Finish, but should still be used with good ventilation.
I was happy to hear that so many of you have used this and really like it. I'm all for getting the job done and moving on with the next project; this is an easy and inexpensive method. Unfortunately, Howard isn't compensating me for all this praise. Darn!