Yup, it sure is a common issue, but the solution sure isn't! I thought of wax too, but, from posts I've checked, it doesn't seem like the hot lick either, ski/paste/furniture or floor. And, from what I can tell, it's not plastic-on-plastic so much as the back of the wood trim against the plastic on the door panel.
I'd be out in the yard doing some some experimenting, but it's raining and the garage is occupied, so I'll hang in and hope someone posts a tried and true idea...I think I'll try double-backed carpet tape, as any kind of glue would be too hard to reverse if it didn't work.

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1986 560SL
2002 Toyota Camry
1993 Lexus