[woodbutcher1963]

Correct.
The Cowboys, with the ultimate bad guy played by Bruce Dern.

However, I am wrong. There is a third movie John Wayne died in.

For the bonus round, can you name it?

[dfwgator]

I know he was dying of Cancer in The Shootist (his last movie).

[Fai Mao]

The Wake of the Red Witch was the other movie Wayne died in. It was also one of the few times he played a bad guy

[Vermont Lt]

I thought he died in The Shootist.

[telescope115]

The Shootist.