WordNet sense 1 (being or reflecting the essential or genuine character of something):

genuine, literal

WordNet sense 2 (consistent with fact or reality; not false):

true

WordNet sense 3 (existing in act or fact):

factual

WordNet sense 4 (being or occurring in fact or actuality; having verified existence; not illusory):

existent, real, real, real

WordNet sense 5 (existing in fact whether with lawful authority or not):

de facto

WordNet sense 6 (occurring in or belonging to the present time):

current

WordNet sense 7 (existing in fact; not theoretical; real):

effective