I chose ENFJ, but I would also like being ENTP. Both seem to retain some aspects of introverts that I can appreciate (need space, time to recharge). ENFJs are good at making people feel comfortable and motivating them, and ENTPs are fun and witty.
"I can never be what I ought to be until you are what you ought to be. You can never be what you ought to be until I am what I ought to be. This is the interrelated structure of reality." -Martin Luther King, Jr.
Personally, I'd love it if I were more extroverted, because I have to deal with people all day long and it drains the Hell out of me. I'm INTP but I'd prefer to be ENTP.
It seems to me also that some people will tell you that they are the type they wish they were, rather than their actual type. My boss claims to be ENTJ, but he seems too illogical and prone to emotional outbursts for that. It seems like he's really an F but wants me to think he's a T because it's more masculine (he does have poor self esteem).