It is a sign of our times, not his, that it is very difficult to find a online video of Pope Paul VI in English that is not accusing him of rank heresy or betraying the true Mass.
The only video about the man that I was able to find was in Italian. This one is entitled "Paulus VI: the forgotten Pope. It is nice to be see him early in his pontificate, the first Pope to travel to the Holy Land, to speak at the UN, etc. There are fascinating pictures of the conclave that elected him, of the heat overwhelming the crowds outside the Vatican during the conclave, of his early popularity.