The Houdini documentary produced in 2014 by ifage filmproduktion is now available to view on YouTube. This is the version that aired on the Franco-German TV network ARTE and is dubbed into French.
Directed by Jens Monath, the documentary contains several well-made reenactments with various actors playing Houdini and Bess at different ages. The documentary also features escapes by Jan Rouven (with a textbook straitjacket fail), and interviews with Bill Kalush and magician Murray SawChuck.
Below is the YouTube embed. I'm not sure if this is licensed, so you might want to watch now before it disappears.
Thanks to Tom Interval for the find.