How do I remove latex primer from thin veneer cabinet door?

You can use one of two products, Lift Off Latex Paint Remover, which is a liquid formulation that you can spray on. The other option is Lift Off Paint and Varnish Remover, which is a gel formulation that you brush on. Due to it being a vertical surface, we would recommend Lift Off Paint & Varnish Remover. After applying, let it set for upwards of five minutes; then use a scraper and/or a Scotch Brite pad which will help break lose the paint. Depending on the thickness of the paint, you may need a couple of applications.