• Acts the blowhard
• Brags
• Brags and exaggerates
• Crows
• Egotist's array
• Has
• Has to offer
• Is overproud
• Lacks humility
• Look, ma, no cavities! and others
• Proudly displays
• Speaks too proudly
• Talks big
• Talks well of oneself
• Toots one's horn
• Toots one's own horn
• We're No. 1! and the like
• We're No. 1! et al.