• "Donald Knuth lectures" https://www.youtube.com/playlist?list=PL94E35692EB9D36F3 (111 videos)
This includes several sub-series but the playlists don't have the videos in the right order:
• “Aha sessions”: https://www.youtube.com/playlist?list=PLoROMvodv4rNbeodV7vqx... (Knuth used to run a “problem-solving seminar” at Stanford; these are videos from one such year.)
Three lecture series on TeX that are now of historical interest (e.g. the TeX program has changed considerably):
• “TeX for Beginners” https://www.youtube.com/playlist?list=PLoROMvodv4rN1PKcXvzjo...
• “Advanced TeXarcana” https://www.youtube.com/playlist?list=PLoROMvodv4rNrDaAftaqM...
• “The Internal Details of TeX82” https://www.youtube.com/playlist?list=PLoROMvodv4rM2JuHk3qBh... (I've found this invaluable as I try to read the TeX program)
The following two playlists are still unlisted and I no longer know how to get to them:
• Mathematical Writing https://www.youtube.com/playlist?list=PLoROMvodv4rOrFl78-o6m...
• Computer Musings - Donald Knuth https://www.youtube.com/playlist?list=PLoROMvodv4rNMsVRnSJ44...
(I happened to have them in my browser history… these playlists used to be linked from http://scpd.stanford.edu/knuth/ but as of yesterday they seem to have changed it up, and also made the videos public (why were they “unlisted” earlier? No idea).)
And completely unrelated, but if you happen to be interested in church organ music and the Bible's Book of Revelation, the world premiere of Knuth's Fantasia Apocalyptica (https://cs.stanford.edu/~knuth/fant.html):
• https://www.youtube.com/playlist?list=PLvixIGKr5sJffdfwecygY...