The term 'CONCEITED ONE' can be described by three crossword solutions: BIGHEAD (7 letters), BRAGGART (8 letters), and EGOIST (6 letters). All three words refer to someone who is overly proud of themselves and their accomplishments. A BIGHEAD is someone who has an exaggerated opinion of their own importance, while a BRAGGART is someone who boasts about their achievements. An egoist is someone who is excessively self-centered and selfish.