Joe,
the inhabitants of Berlin call inhabitants of Berlin "Berliner".
The jelly doughnuts that are known as "Berliner" in other parts of Germany (alternatively Kräppel, Kreppel, Krapfen etc.) are called "Pfannkuchen" in Berlin. No one except

Albrecht der Bär
or
Knut

has been called Bär to my knowledge.

"Ossis" is nowadays used for people from former East Germany including East Berlin (as opposed to "Wessis" for West Germans/Berliners). Before the reunification the people from East Frisia (Ostfriesland) had been known as the Ossis (and ridiculed like the Kerrymen in Ireland or the Newfies in Canada).

And Don,
"Hamburgers" should contain only beef while "Frikadellen" ("Bulletten" in Berlin)also contain old buns (and eggs). Sometimes the baker seems to have a bigger share than the butcher....

;0)
Ernest