WordNet sense 1 (any rational or irrational number):

real number

WordNet sense 2 (being or reflecting the essential or genuine character of something):

genuine, literal

WordNet sense 3 (consistent with fact or reality; not false):

true

WordNet sense 4 ((of especially business assets) having physical substance and intrinsic monetary value ):

tangible

WordNet sense 5 (concerned with work or important matters rather than play or trivialities):

serious

WordNet sense 6 (coinciding with reality):

veridical

WordNet sense 7 (existing in act or fact):

actual, factual

WordNet sense 8 (being or occurring in fact or actuality; having verified existence; not illusory):

existent

WordNet sense 9 (having substance or capable of being treated as fact; not imaginary):

material, substantial

WordNet sense 10 (used as intensifiers; `real' is sometimes used informally for `really'; `rattling' is informal):

rattling, really, very

WordNet sense 11 (capable of being perceived by the senses; not abstract or imaginary):

concrete