I'd use LCD screen cleaner and alot of rubbing. Mostly because I'd be very worried about the other solutions and the potential to weaken the plastic. And also if something accidentially came on my screen, but I am a scared cat
But here are the classes of solvents for removing glues from surfaces, in order of increasing seriousness (and increased risk of damaging surfaces such as plastics) are:
Soaps & detergents.
sweet organic oils, such as vegetable oil, corn oil, etc.
acidic organic oils, such as lemon oil, orange oil, or eucalyptus oil.
petroleum ethers, such as naptha, lighter fluid (zippo or other brands), and products like Goo-Gone, Ronsonol, etc.
ketones, like acetone, nail polish remover, paint thinner.