Anthracene is not chiral, if you draw a mirror image of the
molecule you find that it is superimposable. All chiral compounds
must have an enantiomer which is an identical compound that is
nonsuperimposable.
And maleic anhydride is superimposable as well so therefore it
isn't chiral. (If I assume you're referring to a Diels-Alder
reaction then you'd probably like to know the answer to this as
well.)