Before you invest three hours to watch these lectures you should know that the title is terribly misleading. These lectures are not about QM at all, they are about the history of QM, albeit told by someone who was actually part of it. But the coolness of hearing the history of QM firsthand is undermined by the fact that Bethe is clearly well past his prime, and he's not particularly good at telling stories.
If you want a video that is true to this title I'd recommend this:
Also, the Open Yale Organic Chemistry lectures with J. Michael McBride explain quantum physics in a straightforward and practical way without all the usual mysticism and "this is not possible to understand".
Wow, what a find! These are well worth sitting through, but if you don't want to invest four hours, the content of these videos is in Feynman's book "QED". But if you're ever going to spend four hours watching QM lectures, make it these.
Fantastic. Feynman is the most amazing scientist possible - enlightening and (seemingly) approachable, yet still a genius. I can only hope that there will be more like him in the future.
Not quantum physics, but if you want to read a real classic, there's also Weyl's Space-Time-Matter, which is mind-blowing in its lucidity and ambition (unifying GR and electromagnetism): http://archive.org/details/spacetimematter00weyluoft.
It's amazing that you can pretty much get up to PhD level education using these books (you should buy Landau's books, though, unfortunately those are not free).
Yes the Quantum Entanglements series is what I watched.
It's actually built for a non-student audience (interested professionals etc) so I think you can follow it fairly well even if your background isn't in math/physics (it's not easy though)
If you want a video that is true to this title I'd recommend this:
http://www.youtube.com/watch?v=2rqd8Oa-sA4
EDIT: And if you want to really understand QM, there's this:
http://www.youtube.com/watch?v=dEaecUuEqfc
:-)