There's a difference between being a shameless bragger and a subtle self-promoter.
From the businessweek.com
Bragger also recently added a feature that lets you share facts about you and a friend.
From the cnn.com
I'm not a great bragger anyway and don't like going on about it.
From the metro.co.uk
He's a born bragger, but he's willing to kick himself, too.
From the sacbee.com
Bragger estimates that about 35 percent of its registered users actively create a substantial amount of content every month.
From the techcrunch.com
Bragger plans on speeding up the rate at which new members are approved, while still keeping the quality of the contributors high.
From the techcrunch.com
Incidentally, the same issue of the Evening Post includes a bragger from Bradley Stoke who wants to impose himself on Bristol as mayor.
From the thisisbristol.co.uk
Bragger left Colourlovers before the acquisition and will likely remain an active participant and continue to contribute to the Forrst community.
From the techcrunch.com
Althought I dont agree, I have been labelled a bragger because I would rather look at the positive aspects of my work as opposed to bellyaching all day.
From the positivesharing.com
More examples
A very boastful and talkative person
Boasting is the act of making an ostentatious speech. It is considered a vice by such major religious groups as Christianity, Islam, Hinduism, and Buddhism. Boasting has also been studied by such evolutionary psychologists as Robert Wright.
A person who brags; comparative form of brag: more brag
(Braggers) A game where Jacks and nines are used as wild cards or in another case the ace of diamonds, the jack of clubs, and the nine of diamonds are all used as wild cards.