Computer History Archives Project Videos – a large number of videos (I think 67), some of which have been restored by this project and compiled in a YouTube channel. Many are uniquely available here.
BBC Videos on computing, largely from the 1980s and focused on the “Computer Literacy Project.” There are several hundred videos contained in the BBC’s site.
SKETCHPAD demo – MIT 1963 — Ivan Sutherland’s demo and promo video about the drawing tool he developed
Shakey — Intelligent Robotics at SRI in 1972
IBM 305 RAMAC with first disk drive
Claude Shannon’s Mouse Theseus — Machine Learning in the 1950s
Charlie Bachman Lecture about I-D-S (considered first DBMS) and how it was created–start at 12:45 to avoid intro
Inside the Internet — BBC Documentary from 1997
Birth of Basic — Dartmouth Video describing why BASIC was created and how it was used
Early computing history documentaries compiled by Computer History Museum on Computing Pioneers (hosted by Gordon Bell):
Rob Pike’s Google talk on UNIX History (starts at 3:44 of the video); note it’s more about Rob Pike than UNIX
“The Mother of All Demos” Doug Englebart, 1968 (mouse, windows, etc.)
Revolution OS documentary on Linux and Open Source with many of the participants
Publicity Video for UNIX – published by AT&T in 1982, BWK and others
Origins of APL programming language with Ken Iverson and others involved in it
Claude Shannon – Father of the Information Age documentary
ENIAC Videos hosted at Hagley Museum. This link goes to one of them, but they have several.