I think this is a BBC special on the History of Magic. They actually covered a number of different topics including: Mentalism, Levitation, Close-Up, and Escapology. Below are the videos for the escape part of the special and below that are 3 parts to the Stage Magic portion. The person who put these up on Youtube seems to have missed part 4-6. Regardless, these are great!
Special Highlights: In the Third Part of the Stage Magic Series there is a video of Harry Blackstone Sr, presenting the Buzz Saw. What makes it unique is how young Blackstone was in the clip.
In the Appearance/Vanish section Part 1 near the end you'll see the Fantastic Blooming Orange Bush.
APPEARANCES AND VANISHES