Synonyms for Bragging (same or very similar meaning)
WordNet sense 1 (an instance of boastful talk):
brag, crow, gasconade, crowing, line-shooting, vaporingWordNet sense 2 (exhibiting self-importance):
big, boastful, braggart, self-aggrandizing, braggy, cock-a-hoop, self-aggrandisingWordNet sense 3 (feeling self-respect or pleasure in something by which you measure your self-worth; or being a reason for pride):
proudFrom the ODE community, based on WordNetadd/edit