Was just trying to figure this out. I was looking for a list of TV characters who refer to themselves by their own first name.
For instance on Laverne And Shirley the character Rhonda never said “I” or “Me,” she always said “Rhonda.” As in “Rhonda thinks you should ask Laverne.”
On Becker the character Bob always refered to himself as Bob and not “I” or “me.”
Of course there was the one time character on Seinfeld played by Anthony Starke, who always referred to himself as Jimmy.
I believe there’s a character on the new show “Friday Night Lights” who does this at least some of the time - or at least refers to himself by his team nickname. Smash maybe?
Alex and Izzie rather hilariously began doing this on Grey’s Anatomy, after having met a patient who did it. I don’t think they’ve done it again in any episodes since then, though.