The Tomorrow's World compilation is good - I've seen a clip of the school with the mainframe computer somewhere else, but there's more of it here, and fascinating to see the kids learning how a processor works - not just teaching them binary, but how the processor operates via a game where the kids represent individual bits.
And the segment with James Burke in the future office, whilst really daft, is also predicting a number of things, (ie being able to photograph something and instantly send it to someone else anywhere in the world) albeit implemented through 1960's concepts.
Ian