[Update] After testing the Xbox 360 version of the demo numerous times, we were unable to reproduce the same issues found during our time with the PlayStation 3 demo.
It appears that the Metal Gear Rising: Revengeance demo included with the PlayStation 3 version of the Zone of the Enders HD Collection isn't exactly ready for public consumption. During encounters with the Gecko enemy type, the demo will often crash, requiring a hard-reset of the PlayStation 3. While there's hasn't been confirmation of the same problem occurring on the Xbox 360, it happens often enough in the PlayStation 3 version that customers interested in picking up the Zone of the Enders HD Collection for the Metal Gear Rising: Revengeance demo should think twice.
The glitch is repeated in the video posted below, which also contains footage of an extreme clipping glitch at the end.
The Zone of the Enders HD Collection is available now for the PlayStation 3 and Xbox 360. Metal Gear Rising: Revengeance is scheduled to release for the PlayStation 3 and Xbox 360 on February 19, 2013.