Adding four more (again, in no particular order):

James Stewart
1. Mr. Smith Goes to Washington
2. Its a Wonderful Life (sorry, Mick)
3. Rear Window
4. Shenandoah
5. The Man Who Shot Liberty Valance

Humphrey Bogart
1. Casablanca
2. Dead End
3. The Maltese Falcon
4. The African Queen
5. The Caine Mutiny

James Cagney
1. Yankee Doodle Dandy
2. White Heat
3. Angels With Dirty Faces
4. The Public Enemy
5. Mister Roberts

Gary Cooper
1. Meet John Doe
2. Sergeant York
3. High Noon
4. The Pride of the Yankees
5. The Court Martial of Billy Mitchell