Like the rest of you, I have to deal with burn/smoke marks when engraving/cutting laminated plastic. I use a mild coat of dishwashing detergent on all of my plastics and have no problem with red, green, blue, black (no brainer), orange or grey. I have eliminated 95% of my problems with yellow and white by putting down the soap covering immediately prior to engraving. Every now and then I still get the old smear/burn marks near the edges. I have used soap and water, spray cleaner, etc. and they work...with lots of elbow grease. recently I started putting a dab of Soft Scrub on my finger and rubbing the tags. The burn marks come off with little effort. I know there are probably chemicals that work as well, but the Soft Scrub is easy to clean up and if the phone rings while I'm cleaning parts, no harm is done by leaving them covered with the solution.
Now, I only engrave matte material so I don't know what the Soft Scrub will do to mirror or other finishes.