[kellypeaks]

this article describes the way to clean an LCD screen.
How to Clean a Laptop Screen with Household Products Questions & Answers, Howto's
is there are some proved products

[MikeTech]

I use a simple napkin to clean a laptop screen.

[bushwhacker]

I uses 2:1 solutions of hydrogen peroxide and water, it's very effective cleaner with the micro-fibre clothes.

[Albert Lionheart]

Just use a damp cloth and polish with a newspaper. The ammonia in the newsprint will leave a clean shiny finish. Old wives remedy for cleaning windows which works on screens too.