An injustice or two.

In 1993, Tommy Lee Jones won the Best Supporting Actor Academy Award for The Fugitive.
Val Kilmer wasn't even nominated for his Doc Holliday.

Maybe it was a make-up award for the Emmy Jones did not receive in 1989 for Lonesome Dove. If you think that award went to Robert Duvall, you would be wrong. It went to someone else. In fact, Lonesome Dove won 7 Emmys, but none for acting or writing.

It just goes to show that all these awards are bullshit.