If I had an interview,I would say "Good morning.My name is Xxxxxx." I would shake the interviewer's hand,and give a business card or a calling card if I had one.
Briefly state your education (if you are attending school,name of the school),and your accomplishments.If this is for a job interview,also express relevant skills you have required for the job.
I believe I would let the interviewer ask me questions,and then I would give my best answers to the questions.In this way,I would know exactly what the interviewer wanted to hear,and I would not have to guess.This is much more comfortable than worrying ahead of time what to say and how to say it.