WordNet sense 1 ((linguistics) a grammatical rule (or other linguistic feature) that is found in all languages):

linguistic universal

WordNet sense 2 ((logic) a proposition that asserts something of all members of a class):

universal proposition

WordNet sense 3 (coupling that connects two rotating shafts allowing freedom of movement in all directions):

universal joint

WordNet sense 4 (applying to all or most members of a category or group):

general

WordNet sense 5 (capable of adapting (of becoming or being made suitable) to a particular situation or use):

adaptable

WordNet sense 6 (of worldwide scope or applicability):

cosmopolitan, ecumenical, worldwide, oecumenical

WordNet sense 7 (including all or everything):

comprehensive