After I watched the movie (which was excellent, by the way), my father mentioned I might like to read Chuck Yeager's autobiography. He'd picked up a copy of it at a local used bookstore a while back, so there was no waiting or searching for it online. I was able to dig in the very next day.
The book is told in a very informal manner. Most of it is like sitting down and listening to an old fighter pilot talk about his exploits. There are also little asides speckled throughout the book called "other voices," where someone important in Chuck's life (such as his wife Glennis, or old friend Bud Anderson) will add their perspective. This unusual format made this one of the most entertaining history books I've ever read.
If you have any interest in early rocket flight, WWII flyers, or just want to read about an exceptional American hero, you can't go wrong with Yeager's autobiography. It's a 5-star read all the way.