Symptoms of narcissistic personality disorder, per the DSM IV:
- Expects to be recognized as superior and special, without superior accomplishments
- Expects constant attention, admiration and positive reinforcement from others
- Envies others and believes others envy him/her
- Is preoccupied with thoughts and fantasies of great success, enormous attractiveness, power, intelligence
- Lacks the ability to empathize with the feelings or desires of others
- Is arrogant in attitudes and behavior
- Has expectations of special treatment that are unrealistic
Some of these can be spun to apply to Asuka, but overall I see one trait on that list that meaningfully describes her (that being arrogance, which she has in spades). Her expectations aren't unrealistic (because she does have superior accomplishments to her credit), she doesn't really care about attention and admiration from others (at least not her peers), envy isn't really part of her mindset (though you can certainly spin her relationship with Misato that way), and she can definitely empathize with others (see eps. 18-19).
Other symptoms in addition to the ones defined by DSM-IV-TR include: Is interpersonally exploitative, i.e., takes advantage of others to achieve his or her own ends, has trouble keeping healthy relationships with others, easily hurt or rejected, appears unemotional, and exaggerating special achievements and talents, setting unrealistic goals for himself/herself.
None of that particularly applies to Asuka, save perhaps being easily hurt or rejected. She doesn't take advantage of/exploit people (she tries with Kaji, but that's about it), she has no trouble maintaining a healthy relationship with Hikari, her talents and achievements are not exaggerated, and no one would call her unemotional.
Symptoms of histrionic personality disorder, again per the DSM IV:
- Exhibitionist behavior
- Constant seeking of reassurance or approval
- Excessive sensitivity to criticism or disapproval
- Pride of own personality and unwillingness to change, viewing any change as a threat
- Inappropriately seductive appearance or behavior of a sexual nature
- Using somatic symptoms (of physical illness) to garner attention
- A need to be the center of attention
- Low tolerance for frustration or delayed gratification
- Rapidly shifting emotional states that may appear superficial or exaggerated to others
- Tendency to believe that relationships are more intimate than they actually are
- Making rash decisions
- Blaming personal failures or disappointments on others
- Being easily influenced by others, especially those who treat them approvingly
- Being overly dramatic and emotional
Some of that's iffy, but overall I see two items on that list that don't apply to Asuka (she doesn't use illness to get attention and she's not an exhibitionist). Everything else is spot on.