The phrase "general applicability" means that something can be used or applied in a wide range of situations or to a variety of things. It is not specific to only one particular situation but can be used in different circumstances. Full definition
In Smith, the Court interpreted its First Amendment decisions as holding «that the right of free exercise does not relieve an individual of the obligation to comply with a «valid and neutral law of general applicability on the ground that the law proscribes (or prescribes) conduct that his religion prescribes (or proscribes)»» (id. (religion.blogs.cnn.com)
«The Greens do have such rights,» Heaton's ruling stated, «but are unlikely to prevail as to their constitutional claims because the preventive care coverage regulations... are neutral laws of general applicability which are rationally related to a legitimate governmental objective.» (christianitytoday.com)
These elaborate alcohol specific labelling laws largely pre-empt other labelling laws and trademark laws of general applicability in the cases where they apply. (politics.stackexchange.com)