The Collaborative International Dictionary of English v.0.48:

Self-admiration \Self`-ad`mi*ra"tion\, n.
   Admiration of one's self.
   [1913 Webster]

Moby Thesaurus II by Grady Ward, 1.0:

64 Moby Thesaurus words for "self-admiration":
   acquisitiveness, amour propre, amour-propre, autism, autoeroticism,
   careerism, complacency, conceitedness, consequentiality, ego trip,
   egotism, graspingness, greed, individualism, interest, narcism,
   narcissism, overproudness, overweening pride, personal aims,
   personal ambition, personal desires, personalism, possessiveness,
   privatism, remoteness, self-absorption, self-advancement,
   self-approbation, self-centeredness, self-complacency,
   self-conceit, self-congratulation, self-consideration,
   self-containment, self-content, self-delight, self-devotion,
   self-endearment, self-esteem, self-gratulation, self-importance,
   self-indulgence, self-infatuation, self-interest,
   self-interestedness, self-jealousy, self-love, self-occupation,
   self-pleasing, self-respect, self-satisfaction, self-seeking,
   self-serving, self-solicitude, self-sufficiency, self-worship,
   selfishness, selfism, smugness, vaingloriousness, vainglory,
   vainness, vanity