you can also use mirror cleaner like the klenex or sometin, but dont use it on lcd.
For cassing and all pc hardware that use the white plastic colour, you can use Clorox but you hace to remove the part you want to clean first. i use this method to clean all my cd / dvd drive front panel. i also use this method to cleane my old white monitor which turn yellow due to the kotoran, before i paint it black. it really clean the yellow out.

P/S:- This is not a joke.

i use the CD cleaner cloth, the one you buy in electrical shop which got "Hi Tech Cleaning cloth" writen on the box/cassing. Its not that high tech, but it sure can clean the laptop lcd.