Most people have probably seen the videos of the model of the Enterprise in Minecraft, or the guy that burnt his house down, but there doesn't seem to be any Minecraft gameplay videos on the Sift.
This tutorial video shows the first few minutes of the game, where you start out with nothing but your bare hands.
From YT: "Tutorial for Minecraft Alpha (where bad things come out from the dark and try to eat you). It is intended to help new players learn how to survive their first night in the Minecraft Alpha universe. The tutorial demonstrates what to do in the first few minutes of the game (while the sun is shining!) in order to increase your avatar's chances of surviving the coming night."
The rest of his Minecraft tutorials can be found on his channel page: http://www.youtube.com/user/paulsoaresjr