You might be thinking of Play It Again, Sam. That was the first film they worked on together, but it was released in '72.
Manhattan
Antz
Absolutely not.
Sleeper
Woody Allen is a stage name. His birth name is Allen Stewart Konigsberg.
Manhattan
Radio Days
Woody Allen.
Radio Days
Woody Allen .
Yes, in the years before Annie Hall (1977).
The 1979 movie, Manhattan? It's a Woody Allen movie.
Zelig
Antz
Allen Woody went by Woody.
Absolutely not.
Allen Woody's birth name is Douglas Allen Woody Jr..