1) Arrogant 2) Big-headed 3) Big-mouthed 4) Braggart 5) Bragging 6) Braggy 7) Conceited 8) Crowing 9) Exhibiting self-importance 10) Full of hot air 11) Full of oneself 12) Proud 13) Self-aggrandising 14) Self-aggrandizing 15) Tending to brag 16) Vainglorious Found on https://www.crosswordclues.com/clue/boastful
Boast'ful adjective Given to, or full of, boasting; inclined to boast; vaunting; vainglorious; self- praising. -- Boast'ful*ly , adverb -- Boast'ful*ness , noun Found on http://www.encyclo.co.uk/webster/B/72