Which Barbie doll was not produced?

Not sure what you're asking. I can tell you some careers that Mattel has not created a Barbie doll or outfit of:

Architect (although Ken's been one)

College professor (although she's been a grade school teacher several times)

Director (although she's been an actress a number of times)

Editor

Lawyer

Meteorologist

Mrs. Claus or an elf

Nun or other clergy person

Seamstress

Talk show hostess