The Collaborative International Dictionary of English v.0.48:

Braggart \Brag"gart\, n. [OF. bragard flaunting, vain, bragging.
   See Brag, v. i.]
   A boaster.
   [1913 Webster]

         O, I could play the woman with mine eyes,
         And braggart with my tongue.             --Shak.
   [1913 Webster]

The Collaborative International Dictionary of English v.0.48:

Braggart \Brag"gart\, a.
   Boastful. -- Brag"gart*ly, adv.
   [1913 Webster]

WordNet (r) 3.0 (2006):

braggart
    adj 1: exhibiting self-importance; "big talk" [syn: boastful,
           braggart(a), bragging(a), braggy, big,
           cock-a-hoop, crowing, self-aggrandizing, self-
           aggrandising]
    n 1: a very boastful and talkative person [syn: bragger,
         braggart, boaster, blowhard, line-shooter,
         vaunter]

Moby Thesaurus II by Grady Ward, 1.0:

69 Moby Thesaurus words for "braggart":
   Captain Bobadil, Gascon, Herod, Narcissus, Scaramouch, Texan,
   big mouth, blatherskite, blower, blowhard, bluff, bluffer,
   blusterer, boaster, boastful, boasting, brag, braggadocio,
   bragging, bravo, bucko, bully, bullyboy, conceited, egocentric,
   egoist, egotist, fanfaron, fanfaronading, gasbag, gasconader,
   gasconading, hector, hectorer, hot-air artist, individualist,
   know-it-all, loudmouth, miles gloriosus, narcissist, narcist,
   no modest violet, peacock, ranter, raver, rodomontade, roisterer,
   self-advertising, self-applauding, self-flattering, self-glorious,
   self-lauding, self-vaunting, show-off, smart aleck, swaggerer,
   swashbuckler, swasher, swellhead, thrasonic, thrasonical, vain,
   vainglorious, vaporer, vaporing, vaunting, windbag, windjammer,
   windy