The standard for "tough athletes" starts and ends with Ronnie Lott.
Facing surgery for a broken finger (pinkie?), he had the doctor amputate it so he could play that week.
#2 would probably be Jack Youngblood for the Rams who played in the Super Bowl with a fractured fibula.
Also, one year in the Olympics there was an Asian male gymnast who performed with a broken leg. It didn't hinder him much until landed on his dismount.