How to get white water stains off a veneer table

Have you tried plain white toothpaste or anything of an oily substance?

Rub the area with an oily furniture polish, mayonnaise, or petroleum jelly. The goal is to displace the water mark with the oil. ******************************************************************************************* Put a little white toothpaste on a wet cloth and rub the stain gently until the spot disappears. Toothpaste contains marble powder, a mild abrasive that will help get rid of the stain. ******************************************************************************************* If the stain is still there, mix equal amounts of baking soda and toothpaste together to make a slightly stronger, yet still mild, abrasive and rub that mixture on the stain.

Rubbing alcohol on a cloth ,gentley rub in circles

A dab of cigarette ash on a slightly damp cloth rubbing in a circular motion always works - you may have to repeat if the watermark is bad

I bought new tables last summer, then I bought a large Christmas cactus and put it on one of the tables for the season. When I moved it there was a ring from moisture. Mayonnaise (miracle whip) on a soft rag, rubbed in thoroughly, then all excess wiped of with a clean dry rag. It took away all evidence of the white mark.