The second demo was a lot like the classic Nintendo shooting game Duck Hunt. Various objects - ducks, UFOs, targets - float across the screen and you had to blast them out of the sky by aiming with the remote and pulling the trigger underneath.
What was really noticeable when playing this demo was how unnatural the remote felt when using it as a gun. As the remote is not shaped like a pistol it doesn't have the instinctive feel that you'd get from, say, using a lightgun in an arcade (and the Zapper-shaped attachment Nintendo showed was kept under glass; it's just a prototype and may never come out). This is probably why shooting during our demo of Ubisoft's Red Steel didn't feel quite right. It's something that developers thinking of making a Wii FPS should take into consideration.