http://www.meguiars.com/en/automotive/products/mc20506-plastic-cleaner-polish/

Worked wonders on convertible windows, plastic lenses, and other clear plastic parts.

The rotary display bins like the one you show often have a pushbutton that the shopper can operate. I can't remember whether it starts the rotation or halts it so you could look closely at one item. Often seen these days in antique shops and malls to display "smalls".