For storage only if you're expecting an earthquake...
Rubber/latex should be avoided due to corrosive breakdown products. Most available foam is of very dubious quality, too! Beware of evaporating plastic components which can irreversibly stain or damage materials including silver!
High-quality silicone may work as a anti-gliding surface for drawers; if you're careful, clean dense cotton fabric may do and looks less artificial (beware of hiding pests though). The best surface to place pieces on would be glass or quality acrylic (in the latter, you can glue in spacers to avoid gliding).
Regards,
Kai