Dates may be either the date the video was created or the upload date to the video service, depending on what's available. Many of the web pages here have additional and updated information, not just the bare video.
Corrections/additions/comments welcome. We (clearly) can't aim to be comprehensive, but are happy to receive suggestions.
TeX and friends - Donald Knuth - Typography and fonts.
Videos from TeX conferences are linked separately.
2018-10-27 and ongoing: Persian TeX channel, about general TeX topics. Spoken text in Persian, titles and descriptions in English.
2017-11-29: BSDNow TV Web cast, from 1:04 to 1:18, a discussion of Donald Knuth, TeX, LaTeX, and ConTeXt.
2016-11-16: Sebastian Rahtz memorial.
2018-07-19: Don Knuth's early programs, Computer History Museum, Palo Alto. In this interview, DEK discusses some of his earliest efforts in computer programming while showing related program listings and manuals.
2018-01-12: All questions answered, Luleå University of Technology.
2017-12-09: Donald E. Knuth lectures, digitized by the Stanford Center for Professional Development. Includes “Experiments with Digital Halftones”, “Mathematical Writing”, “CS144C classroom lectures about disk storage and B-trees”, and the “Christmas tree lecture 2017”.
2017-07-18: Invitation to Knuth's organ composition Fantasia Apocalyptica, by organist Jan Overduin (Fantasia Apocalyptica web page.)
2017-03-15: History of Stanford's computer science department, panel discussion.
2016-12-15: The 2016 Paris C. Kanellakis Memorial Lecture: Hamiltonian Paths in Antiquity, at Brown University.
2016-09-21: 32 years of TeX and Metafont, at the San Francisco Public Library.
2016-06-27: Surreal Numbers (writing the first book), from Numberphile.
2016-02-04: Analysis of algorithms (hi-res) Historical re-enactment of inaugural lecture given on 1969-11-04 upon becoming a Stanford professor.
2015-11-04: All questions answered, University College Cork.
2015-06-17: A conversation with Donald Knuth, University of British Columbia.
2014-06-17: Computer Science: All questions answered, UPMC Campus Jussieu.
2014-06-16: Problems Philippe Would Have Liked (slides), Flajolet Lecture at the 25th International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms.
2013-09-27: Let's Not Dumb Down the History of Computer Science, 2014 Kailath lecture, in which he discusses how he wishes computer science history was written.
2013-06-12: Donald Knuth: “Ich wurde als Geek geboren” [I was born a geek]. Part of the Vienna Gödel Lecture 2013 visit, including an “all questions answered” video.
2013-05-21: All questions answered, JKU Linz.
2013-05-16: All questions answered, Vienna Gödel Lecture, TU Wien.
2012-01-14: All questions answered, ETH Zurich.
2011-05-17: All questions answered, Stanford Engineering Hero Lecture.
2011-03-24: All questions answered, Google Tech Talk.
2010-06-30: An Earthshaking Announcement, lecture given at TUG 2010 in San Francisco (paper).
2009: Lecture about DEK, part 1 and part 2, by Leon Sterling.
2006-04: Web of Stories, series of 97 videos. Some TeX-related and other selections:
2005-03: Donald Knuth, Founding Artist of Computer Science, audio interview by David Kestenbaum, National Public Radio.
1982-07-28ff.: The internal details of TeX82, twelve sessions:
1981-03-02ff.: Advanced TeXarcana, five sessions:
1981-02-23ff.: TeX for beginners, five sessions:
Ongoing: Herb Lubalin Lecture Series, Type@Cooper NYC.
2016-06-07: The last punchcutter, a documentary on Giuseppe Brachino, recreating a Griffo engraving.
2016-06: Typographers of the Road (trailer), about road painting, by O Street.
2016-04-23: St Brigid Press: How type is made, part 2—wood type
2016-04-12: St Brigid Press: How type is made, part 1—metal type
2016-03-15: Edward Johnston: Calligraphy & Type Design, Ewan Clayton, Type@Cooper West.
2016-03-15: Presentation on Bodoni by Valerie Lester, San Francisco.
2015-12-02: Pace Matters, Nick Benson, third-generation stone carver and owner-operator of the John Stevens Shop, founded in 1705.
2015-10-26: How Aldus Manutius Saved Western Civilization, G. Scott Clemons, Type@Cooper NYC.
2015-08-03: Humanform Letterform, Sumner Stone, Type@Cooper NYC.
2015-06-15: Words, Petr van Blokland, Type@Cooper NYC.
2015-05-12: Linotype: End of an era at the New York Times.
2013-12-12: The Great 202 Jailbreak, reverse engineering the Linotronic 202 typesetter at Bell Labs, David Brailsford, Computerphile.
2012-08-11: Linotype typesetting, Salesian Vocational.
2009-01-09: RGB vs. CMYK color models, PressCats.com.
Thanks to those contributing the links: Nelson Beebe, Barbara Beeton, David Walden.