Not sure at the moment. I had to watch the videos sans audio at work.
Take the requirements for an "enjoyable" Vista experience and then augment those specs by the typical margin required by game fanatics.
So, I imagine a good core2 duo, as much ram as you can install and a fully DX10 compatible graphics card, again with as much ram as you can get, just for starters...
Bit of googling:
CPU: Dual-core CPU (Athlon X2/Pentium D)
Graphics: Nvidia 7800GTX/ATI X1800XT (SM 3.0) or DX10 equivalent
RAM: 1.5Gb
HDD: 6GB
Internet: 512k+ (128k+ upstream)
Optical Drive: DVD
Software: DX10 with Windows Vista