Nouns

(n)universal, linguistic universal(linguistics) a grammatical rule (or other linguistic feature) that is found in all languages
(n)universal, universal proposition(logic) a proposition that asserts something of all members of a class
(n)universala behavioral convention or pattern characteristic of all members of a particular culture or of all human beings“some form of religion seems to be a human universal”
(n)universal joint, universalcoupling that connects two rotating shafts allowing freedom of movement in all directions“in motor vehicles a universal joint allows the driveshaft to move up and down as the vehicle passes over bumps”

Adjectives

(s)cosmopolitan, ecumenical, oecumenical, general, universal, worldwide, world-wideof worldwide scope or applicability“an issue of cosmopolitan import”, “the shrewdest political and ecumenical comment of our time” (Christopher Morley), “universal experience”
(s)universalapplicable to or common to all members of a group or set“the play opened to universal acclaim”, “rap enjoys universal appeal among teenage boys”
(s)universaladapted to various purposes, sizes, forms, operations“universal wrench”, “universal chuck”, “universal screwdriver”