The Xbox version of DKS has the health / mana / experience bars around the compass in the upper left of the screen, icons for the D-Pad direction hotkeys to the lower left and the A/B/X/Y face buttons to the lower right.
There is a combat log (logbook, far right tab), but AFAIK no way to leave it displayed while the game is playing. It is hard to say without seeing the video, but maybe they recorded the combat and the log separately, and combined them after the fact (there is no multi-monitor support to leave it open on another screen).
