What about the movie he directed between those two movies?
On a side note: I just watched Dog Day Afternoon, which featured John Cazale. This was on TMC, the host made mention of Cazale appearing in only five movies, before his premature death:
GodFather I and II
The Conversation,
The Deer Hunter
Dog Day Afternoon
It was mentioned that all five were nominated for Best Movie. The contention was that John Cazale was so good, that his appearance was a factor. A tad over done, I think, but he was a very good actor.